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Finding the Fourth Proportional to 2,562.70, 3,826.76 and 2,547.34

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Solution

The fourth proportional to 2,562.70, 3,826.76 and 2,547.34 is: 3,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.70 : 3,826.76 = 2,547.34 : x
  2. Step 2: Convert to fraction form
    2,562.70/3,826.76 = 2,547.34/x
  3. Step 3: Cross multiply
    2,562.70x = 3,826.76 × 2,547.34
  4. Step 4: Simplify right side
    2,562.70x = 9,748,058.82
  5. Step 5: Solve for x
    x = 9,748,058.82/2,562.70
  6. Step 6: Final answer
    x = 3,803.82

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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.