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Finding the Fourth Proportional to 1,638.57, 2,457.86 and 714.09

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Solution

The fourth proportional to 1,638.57, 2,457.86 and 714.09 is: 1,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.57 : 2,457.86 = 714.09 : x
  2. Step 2: Convert to fraction form
    1,638.57/2,457.86 = 714.09/x
  3. Step 3: Cross multiply
    1,638.57x = 2,457.86 × 714.09
  4. Step 4: Simplify right side
    1,638.57x = 1,755,129.68
  5. Step 5: Solve for x
    x = 1,755,129.68/1,638.57
  6. Step 6: Final answer
    x = 1,071.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.