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Finding the Fourth Proportional to 1,508.10, 2,262.86 and 534.66

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Solution

The fourth proportional to 1,508.10, 2,262.86 and 534.66 is: 802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.10 : 2,262.86 = 534.66 : x
  2. Step 2: Convert to fraction form
    1,508.10/2,262.86 = 534.66/x
  3. Step 3: Cross multiply
    1,508.10x = 2,262.86 × 534.66
  4. Step 4: Simplify right side
    1,508.10x = 1,209,860.73
  5. Step 5: Solve for x
    x = 1,209,860.73/1,508.10
  6. Step 6: Final answer
    x = 802.24

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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.