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Finding the Fourth Proportional to 1,416.47, 2,120.63 and 867.02

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Solution

The fourth proportional to 1,416.47, 2,120.63 and 867.02 is: 1,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.47 : 2,120.63 = 867.02 : x
  2. Step 2: Convert to fraction form
    1,416.47/2,120.63 = 867.02/x
  3. Step 3: Cross multiply
    1,416.47x = 2,120.63 × 867.02
  4. Step 4: Simplify right side
    1,416.47x = 1,838,613.68
  5. Step 5: Solve for x
    x = 1,838,613.68/1,416.47
  6. Step 6: Final answer
    x = 1,298.03

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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.