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Finding the Fourth Proportional to 2,374.89, 3,559.29 and 987.36

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Solution

The fourth proportional to 2,374.89, 3,559.29 and 987.36 is: 1,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.89 : 3,559.29 = 987.36 : x
  2. Step 2: Convert to fraction form
    2,374.89/3,559.29 = 987.36/x
  3. Step 3: Cross multiply
    2,374.89x = 3,559.29 × 987.36
  4. Step 4: Simplify right side
    2,374.89x = 3,514,300.57
  5. Step 5: Solve for x
    x = 3,514,300.57/2,374.89
  6. Step 6: Final answer
    x = 1,479.77

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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.