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Finding the Fourth Proportional to 1,590.52, 2,386.14 and 1,201.72

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Solution

The fourth proportional to 1,590.52, 2,386.14 and 1,201.72 is: 1,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.52 : 2,386.14 = 1,201.72 : x
  2. Step 2: Convert to fraction form
    1,590.52/2,386.14 = 1,201.72/x
  3. Step 3: Cross multiply
    1,590.52x = 2,386.14 × 1,201.72
  4. Step 4: Simplify right side
    1,590.52x = 2,867,472.16
  5. Step 5: Solve for x
    x = 2,867,472.16/1,590.52
  6. Step 6: Final answer
    x = 1,802.85

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