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Finding the Fourth Proportional to 1,439.95, 1,986.61 and 880.24

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Solution

The fourth proportional to 1,439.95, 1,986.61 and 880.24 is: 1,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.95 : 1,986.61 = 880.24 : x
  2. Step 2: Convert to fraction form
    1,439.95/1,986.61 = 880.24/x
  3. Step 3: Cross multiply
    1,439.95x = 1,986.61 × 880.24
  4. Step 4: Simplify right side
    1,439.95x = 1,748,693.59
  5. Step 5: Solve for x
    x = 1,748,693.59/1,439.95
  6. Step 6: Final answer
    x = 1,214.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.