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Finding the Fourth Proportional to 1,214.89, 1,672.49 and 1,159.10

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Solution

The fourth proportional to 1,214.89, 1,672.49 and 1,159.10 is: 1,595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.89 : 1,672.49 = 1,159.10 : x
  2. Step 2: Convert to fraction form
    1,214.89/1,672.49 = 1,159.10/x
  3. Step 3: Cross multiply
    1,214.89x = 1,672.49 × 1,159.10
  4. Step 4: Simplify right side
    1,214.89x = 1,938,574.80
  5. Step 5: Solve for x
    x = 1,938,574.80/1,214.89
  6. Step 6: Final answer
    x = 1,595.69

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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.