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Finding the Fourth Proportional to 2,683.76, 3,703.12 and 1,504.88

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Solution

The fourth proportional to 2,683.76, 3,703.12 and 1,504.88 is: 2,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.76 : 3,703.12 = 1,504.88 : x
  2. Step 2: Convert to fraction form
    2,683.76/3,703.12 = 1,504.88/x
  3. Step 3: Cross multiply
    2,683.76x = 3,703.12 × 1,504.88
  4. Step 4: Simplify right side
    2,683.76x = 5,572,751.23
  5. Step 5: Solve for x
    x = 5,572,751.23/2,683.76
  6. Step 6: Final answer
    x = 2,076.47

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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.