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Finding the Fourth Proportional to 1,931.58, 2,665.80 and 1,145.61

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Solution

The fourth proportional to 1,931.58, 2,665.80 and 1,145.61 is: 1,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.58 : 2,665.80 = 1,145.61 : x
  2. Step 2: Convert to fraction form
    1,931.58/2,665.80 = 1,145.61/x
  3. Step 3: Cross multiply
    1,931.58x = 2,665.80 × 1,145.61
  4. Step 4: Simplify right side
    1,931.58x = 3,053,967.14
  5. Step 5: Solve for x
    x = 3,053,967.14/1,931.58
  6. Step 6: Final answer
    x = 1,581.07

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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.