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Finding the Fourth Proportional to 2,570.04, 3,546.60 and 1,451

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Solution

The fourth proportional to 2,570.04, 3,546.60 and 1,451 is: 2,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.04 : 3,546.60 = 1,451 : x
  2. Step 2: Convert to fraction form
    2,570.04/3,546.60 = 1,451/x
  3. Step 3: Cross multiply
    2,570.04x = 3,546.60 × 1,451
  4. Step 4: Simplify right side
    2,570.04x = 5,146,116.60
  5. Step 5: Solve for x
    x = 5,146,116.60/2,570.04
  6. Step 6: Final answer
    x = 2,002.35

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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.