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Finding the Fourth Proportional to 2,688.70, 4,031.68 and 1,302.10

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Solution

The fourth proportional to 2,688.70, 4,031.68 and 1,302.10 is: 1,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.70 : 4,031.68 = 1,302.10 : x
  2. Step 2: Convert to fraction form
    2,688.70/4,031.68 = 1,302.10/x
  3. Step 3: Cross multiply
    2,688.70x = 4,031.68 × 1,302.10
  4. Step 4: Simplify right side
    2,688.70x = 5,249,650.53
  5. Step 5: Solve for x
    x = 5,249,650.53/2,688.70
  6. Step 6: Final answer
    x = 1,952.49

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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.