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Finding the Fourth Proportional to 2,652.93, 3,661.06 and 1,658.79

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Solution

The fourth proportional to 2,652.93, 3,661.06 and 1,658.79 is: 2,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.93 : 3,661.06 = 1,658.79 : x
  2. Step 2: Convert to fraction form
    2,652.93/3,661.06 = 1,658.79/x
  3. Step 3: Cross multiply
    2,652.93x = 3,661.06 × 1,658.79
  4. Step 4: Simplify right side
    2,652.93x = 6,072,929.72
  5. Step 5: Solve for x
    x = 6,072,929.72/2,652.93
  6. Step 6: Final answer
    x = 2,289.14

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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.