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Finding the Fourth Proportional to 1,763.52, 2,433.64 and 1,017.47

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Solution

The fourth proportional to 1,763.52, 2,433.64 and 1,017.47 is: 1,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.52 : 2,433.64 = 1,017.47 : x
  2. Step 2: Convert to fraction form
    1,763.52/2,433.64 = 1,017.47/x
  3. Step 3: Cross multiply
    1,763.52x = 2,433.64 × 1,017.47
  4. Step 4: Simplify right side
    1,763.52x = 2,476,155.69
  5. Step 5: Solve for x
    x = 2,476,155.69/1,763.52
  6. Step 6: Final answer
    x = 1,404.10

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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.