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Finding the Fourth Proportional to 1,666.40, 2,296.97 and 1,135.10

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Solution

The fourth proportional to 1,666.40, 2,296.97 and 1,135.10 is: 1,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.40 : 2,296.97 = 1,135.10 : x
  2. Step 2: Convert to fraction form
    1,666.40/2,296.97 = 1,135.10/x
  3. Step 3: Cross multiply
    1,666.40x = 2,296.97 × 1,135.10
  4. Step 4: Simplify right side
    1,666.40x = 2,607,290.65
  5. Step 5: Solve for x
    x = 2,607,290.65/1,666.40
  6. Step 6: Final answer
    x = 1,564.62

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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.