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Finding the Fourth Proportional to 1,572.17, 2,348.21 and 1,423.71

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Solution

The fourth proportional to 1,572.17, 2,348.21 and 1,423.71 is: 2,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.17 : 2,348.21 = 1,423.71 : x
  2. Step 2: Convert to fraction form
    1,572.17/2,348.21 = 1,423.71/x
  3. Step 3: Cross multiply
    1,572.17x = 2,348.21 × 1,423.71
  4. Step 4: Simplify right side
    1,572.17x = 3,343,183.52
  5. Step 5: Solve for x
    x = 3,343,183.52/1,572.17
  6. Step 6: Final answer
    x = 2,126.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.