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Finding the Fourth Proportional to 2,385.16, 3,577.20 and 1,087

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Solution

The fourth proportional to 2,385.16, 3,577.20 and 1,087 is: 1,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.16 : 3,577.20 = 1,087 : x
  2. Step 2: Convert to fraction form
    2,385.16/3,577.20 = 1,087/x
  3. Step 3: Cross multiply
    2,385.16x = 3,577.20 × 1,087
  4. Step 4: Simplify right side
    2,385.16x = 3,888,416.40
  5. Step 5: Solve for x
    x = 3,888,416.40/2,385.16
  6. Step 6: Final answer
    x = 1,630.25

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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.