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Finding the Fourth Proportional to 1,117.87, 1,666.60 and 1,089.45

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Solution

The fourth proportional to 1,117.87, 1,666.60 and 1,089.45 is: 1,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.87 : 1,666.60 = 1,089.45 : x
  2. Step 2: Convert to fraction form
    1,117.87/1,666.60 = 1,089.45/x
  3. Step 3: Cross multiply
    1,117.87x = 1,666.60 × 1,089.45
  4. Step 4: Simplify right side
    1,117.87x = 1,815,674.65
  5. Step 5: Solve for x
    x = 1,815,674.65/1,117.87
  6. Step 6: Final answer
    x = 1,624.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.