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Finding the Fourth Proportional to 2,373.54, 3,561.59 and 987.83

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Solution

The fourth proportional to 2,373.54, 3,561.59 and 987.83 is: 1,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.54 : 3,561.59 = 987.83 : x
  2. Step 2: Convert to fraction form
    2,373.54/3,561.59 = 987.83/x
  3. Step 3: Cross multiply
    2,373.54x = 3,561.59 × 987.83
  4. Step 4: Simplify right side
    2,373.54x = 3,518,256.82
  5. Step 5: Solve for x
    x = 3,518,256.82/2,373.54
  6. Step 6: Final answer
    x = 1,482.28

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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.