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Finding the Fourth Proportional to 2,282.52, 3,423.51 and 1,698.24

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Solution

The fourth proportional to 2,282.52, 3,423.51 and 1,698.24 is: 2,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.52 : 3,423.51 = 1,698.24 : x
  2. Step 2: Convert to fraction form
    2,282.52/3,423.51 = 1,698.24/x
  3. Step 3: Cross multiply
    2,282.52x = 3,423.51 × 1,698.24
  4. Step 4: Simplify right side
    2,282.52x = 5,813,941.62
  5. Step 5: Solve for x
    x = 5,813,941.62/2,282.52
  6. Step 6: Final answer
    x = 2,547.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.