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Finding the Fourth Proportional to 1,508.46, 2,259.02 and 1,044.94

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Solution

The fourth proportional to 1,508.46, 2,259.02 and 1,044.94 is: 1,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.46 : 2,259.02 = 1,044.94 : x
  2. Step 2: Convert to fraction form
    1,508.46/2,259.02 = 1,044.94/x
  3. Step 3: Cross multiply
    1,508.46x = 2,259.02 × 1,044.94
  4. Step 4: Simplify right side
    1,508.46x = 2,360,537.32
  5. Step 5: Solve for x
    x = 2,360,537.32/1,508.46
  6. Step 6: Final answer
    x = 1,564.87

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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.