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Finding the Fourth Proportional to 2,598.57, 3,871.98 and 2,473.02

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Solution

The fourth proportional to 2,598.57, 3,871.98 and 2,473.02 is: 3,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.57 : 3,871.98 = 2,473.02 : x
  2. Step 2: Convert to fraction form
    2,598.57/3,871.98 = 2,473.02/x
  3. Step 3: Cross multiply
    2,598.57x = 3,871.98 × 2,473.02
  4. Step 4: Simplify right side
    2,598.57x = 9,575,483.98
  5. Step 5: Solve for x
    x = 9,575,483.98/2,598.57
  6. Step 6: Final answer
    x = 3,684.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.