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Finding the Fourth Proportional to 1,665.65, 2,298.61 and 909.43

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Solution

The fourth proportional to 1,665.65, 2,298.61 and 909.43 is: 1,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.65 : 2,298.61 = 909.43 : x
  2. Step 2: Convert to fraction form
    1,665.65/2,298.61 = 909.43/x
  3. Step 3: Cross multiply
    1,665.65x = 2,298.61 × 909.43
  4. Step 4: Simplify right side
    1,665.65x = 2,090,420.35
  5. Step 5: Solve for x
    x = 2,090,420.35/1,665.65
  6. Step 6: Final answer
    x = 1,255.02

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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.