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Finding the Fourth Proportional to 1,445.19, 2,167.66 and 405.10

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Solution

The fourth proportional to 1,445.19, 2,167.66 and 405.10 is: 607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.19 : 2,167.66 = 405.10 : x
  2. Step 2: Convert to fraction form
    1,445.19/2,167.66 = 405.10/x
  3. Step 3: Cross multiply
    1,445.19x = 2,167.66 × 405.10
  4. Step 4: Simplify right side
    1,445.19x = 878,117.04
  5. Step 5: Solve for x
    x = 878,117.04/1,445.19
  6. Step 6: Final answer
    x = 607.62

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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.