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Finding the Fourth Proportional to 2,505.40, 3,758.04 and 1,044.64

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Solution

The fourth proportional to 2,505.40, 3,758.04 and 1,044.64 is: 1,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.40 : 3,758.04 = 1,044.64 : x
  2. Step 2: Convert to fraction form
    2,505.40/3,758.04 = 1,044.64/x
  3. Step 3: Cross multiply
    2,505.40x = 3,758.04 × 1,044.64
  4. Step 4: Simplify right side
    2,505.40x = 3,925,798.91
  5. Step 5: Solve for x
    x = 3,925,798.91/2,505.40
  6. Step 6: Final answer
    x = 1,566.93

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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.