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Finding the Fourth Proportional to 2,373.60, 3,561.48 and 987.96

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Solution

The fourth proportional to 2,373.60, 3,561.48 and 987.96 is: 1,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.60 : 3,561.48 = 987.96 : x
  2. Step 2: Convert to fraction form
    2,373.60/3,561.48 = 987.96/x
  3. Step 3: Cross multiply
    2,373.60x = 3,561.48 × 987.96
  4. Step 4: Simplify right side
    2,373.60x = 3,518,599.78
  5. Step 5: Solve for x
    x = 3,518,599.78/2,373.60
  6. Step 6: Final answer
    x = 1,482.39

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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.