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Finding the Fourth Proportional to 3,009.72, 4,153.03 and 1,683.67

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Solution

The fourth proportional to 3,009.72, 4,153.03 and 1,683.67 is: 2,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.72 : 4,153.03 = 1,683.67 : x
  2. Step 2: Convert to fraction form
    3,009.72/4,153.03 = 1,683.67/x
  3. Step 3: Cross multiply
    3,009.72x = 4,153.03 × 1,683.67
  4. Step 4: Simplify right side
    3,009.72x = 6,992,332.02
  5. Step 5: Solve for x
    x = 6,992,332.02/3,009.72
  6. Step 6: Final answer
    x = 2,323.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.