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Finding the Fourth Proportional to 1,167.65, 1,610.89 and 1,074.40

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Solution

The fourth proportional to 1,167.65, 1,610.89 and 1,074.40 is: 1,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.65 : 1,610.89 = 1,074.40 : x
  2. Step 2: Convert to fraction form
    1,167.65/1,610.89 = 1,074.40/x
  3. Step 3: Cross multiply
    1,167.65x = 1,610.89 × 1,074.40
  4. Step 4: Simplify right side
    1,167.65x = 1,730,733.50
  5. Step 5: Solve for x
    x = 1,730,733.50/1,167.65
  6. Step 6: Final answer
    x = 1,482.24

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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.