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Finding the Fourth Proportional to 2,574.86, 3,876.32 and 1,758.29

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Solution

The fourth proportional to 2,574.86, 3,876.32 and 1,758.29 is: 2,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.86 : 3,876.32 = 1,758.29 : x
  2. Step 2: Convert to fraction form
    2,574.86/3,876.32 = 1,758.29/x
  3. Step 3: Cross multiply
    2,574.86x = 3,876.32 × 1,758.29
  4. Step 4: Simplify right side
    2,574.86x = 6,815,679.71
  5. Step 5: Solve for x
    x = 6,815,679.71/2,574.86
  6. Step 6: Final answer
    x = 2,647.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.