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Finding the Fourth Proportional to 1,502.70, 2,074.59 and 1,031.28

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Solution

The fourth proportional to 1,502.70, 2,074.59 and 1,031.28 is: 1,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.70 : 2,074.59 = 1,031.28 : x
  2. Step 2: Convert to fraction form
    1,502.70/2,074.59 = 1,031.28/x
  3. Step 3: Cross multiply
    1,502.70x = 2,074.59 × 1,031.28
  4. Step 4: Simplify right side
    1,502.70x = 2,139,483.18
  5. Step 5: Solve for x
    x = 2,139,483.18/1,502.70
  6. Step 6: Final answer
    x = 1,423.76

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