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Finding the Fourth Proportional to 2,358.18, 3,254.71 and 1,763.65

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Solution

The fourth proportional to 2,358.18, 3,254.71 and 1,763.65 is: 2,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.18 : 3,254.71 = 1,763.65 : x
  2. Step 2: Convert to fraction form
    2,358.18/3,254.71 = 1,763.65/x
  3. Step 3: Cross multiply
    2,358.18x = 3,254.71 × 1,763.65
  4. Step 4: Simplify right side
    2,358.18x = 5,740,169.29
  5. Step 5: Solve for x
    x = 5,740,169.29/2,358.18
  6. Step 6: Final answer
    x = 2,434.15

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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.