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Finding the Fourth Proportional to 2,404.64, 3,320.28 and 1,882.16

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Solution

The fourth proportional to 2,404.64, 3,320.28 and 1,882.16 is: 2,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.64 : 3,320.28 = 1,882.16 : x
  2. Step 2: Convert to fraction form
    2,404.64/3,320.28 = 1,882.16/x
  3. Step 3: Cross multiply
    2,404.64x = 3,320.28 × 1,882.16
  4. Step 4: Simplify right side
    2,404.64x = 6,249,298.20
  5. Step 5: Solve for x
    x = 6,249,298.20/2,404.64
  6. Step 6: Final answer
    x = 2,598.85

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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.