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Finding the Fourth Proportional to 2,401.04, 3,602.52 and 862.16

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Solution

The fourth proportional to 2,401.04, 3,602.52 and 862.16 is: 1,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.04 : 3,602.52 = 862.16 : x
  2. Step 2: Convert to fraction form
    2,401.04/3,602.52 = 862.16/x
  3. Step 3: Cross multiply
    2,401.04x = 3,602.52 × 862.16
  4. Step 4: Simplify right side
    2,401.04x = 3,105,948.64
  5. Step 5: Solve for x
    x = 3,105,948.64/2,401.04
  6. Step 6: Final answer
    x = 1,293.58

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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.