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Finding the Fourth Proportional to 1,445.90, 2,167.14 and 830.04

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Solution

The fourth proportional to 1,445.90, 2,167.14 and 830.04 is: 1,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.90 : 2,167.14 = 830.04 : x
  2. Step 2: Convert to fraction form
    1,445.90/2,167.14 = 830.04/x
  3. Step 3: Cross multiply
    1,445.90x = 2,167.14 × 830.04
  4. Step 4: Simplify right side
    1,445.90x = 1,798,812.89
  5. Step 5: Solve for x
    x = 1,798,812.89/1,445.90
  6. Step 6: Final answer
    x = 1,244.08

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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.