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Finding the Fourth Proportional to 1,411.42, 2,116.07 and 1,103.93

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Solution

The fourth proportional to 1,411.42, 2,116.07 and 1,103.93 is: 1,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.42 : 2,116.07 = 1,103.93 : x
  2. Step 2: Convert to fraction form
    1,411.42/2,116.07 = 1,103.93/x
  3. Step 3: Cross multiply
    1,411.42x = 2,116.07 × 1,103.93
  4. Step 4: Simplify right side
    1,411.42x = 2,335,993.16
  5. Step 5: Solve for x
    x = 2,335,993.16/1,411.42
  6. Step 6: Final answer
    x = 1,655.07

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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.