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Finding the Fourth Proportional to 1,410.60, 2,113.20 and 861.15

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Solution

The fourth proportional to 1,410.60, 2,113.20 and 861.15 is: 1,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.60 : 2,113.20 = 861.15 : x
  2. Step 2: Convert to fraction form
    1,410.60/2,113.20 = 861.15/x
  3. Step 3: Cross multiply
    1,410.60x = 2,113.20 × 861.15
  4. Step 4: Simplify right side
    1,410.60x = 1,819,782.18
  5. Step 5: Solve for x
    x = 1,819,782.18/1,410.60
  6. Step 6: Final answer
    x = 1,290.08

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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.