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Finding the Fourth Proportional to 1,592.13, 2,386.81 and 617.54

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Solution

The fourth proportional to 1,592.13, 2,386.81 and 617.54 is: 925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.13 : 2,386.81 = 617.54 : x
  2. Step 2: Convert to fraction form
    1,592.13/2,386.81 = 617.54/x
  3. Step 3: Cross multiply
    1,592.13x = 2,386.81 × 617.54
  4. Step 4: Simplify right side
    1,592.13x = 1,473,937.17
  5. Step 5: Solve for x
    x = 1,473,937.17/1,592.13
  6. Step 6: Final answer
    x = 925.76

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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.