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Finding the Fourth Proportional to 1,407.08, 2,098.18 and 1,394.80

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Solution

The fourth proportional to 1,407.08, 2,098.18 and 1,394.80 is: 2,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.08 : 2,098.18 = 1,394.80 : x
  2. Step 2: Convert to fraction form
    1,407.08/2,098.18 = 1,394.80/x
  3. Step 3: Cross multiply
    1,407.08x = 2,098.18 × 1,394.80
  4. Step 4: Simplify right side
    1,407.08x = 2,926,541.46
  5. Step 5: Solve for x
    x = 2,926,541.46/1,407.08
  6. Step 6: Final answer
    x = 2,079.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.