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Finding the Fourth Proportional to 1,219.71, 1,681.30 and 1,154.10

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Solution

The fourth proportional to 1,219.71, 1,681.30 and 1,154.10 is: 1,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.71 : 1,681.30 = 1,154.10 : x
  2. Step 2: Convert to fraction form
    1,219.71/1,681.30 = 1,154.10/x
  3. Step 3: Cross multiply
    1,219.71x = 1,681.30 × 1,154.10
  4. Step 4: Simplify right side
    1,219.71x = 1,940,388.33
  5. Step 5: Solve for x
    x = 1,940,388.33/1,219.71
  6. Step 6: Final answer
    x = 1,590.86

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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.