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Finding the Fourth Proportional to 2,574.90, 3,852.72 and 1,531.08

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Solution

The fourth proportional to 2,574.90, 3,852.72 and 1,531.08 is: 2,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.90 : 3,852.72 = 1,531.08 : x
  2. Step 2: Convert to fraction form
    2,574.90/3,852.72 = 1,531.08/x
  3. Step 3: Cross multiply
    2,574.90x = 3,852.72 × 1,531.08
  4. Step 4: Simplify right side
    2,574.90x = 5,898,822.54
  5. Step 5: Solve for x
    x = 5,898,822.54/2,574.90
  6. Step 6: Final answer
    x = 2,290.89

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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.