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Finding the Fourth Proportional to 2,526.92, 3,485.94 and 1,966.40

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Solution

The fourth proportional to 2,526.92, 3,485.94 and 1,966.40 is: 2,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.92 : 3,485.94 = 1,966.40 : x
  2. Step 2: Convert to fraction form
    2,526.92/3,485.94 = 1,966.40/x
  3. Step 3: Cross multiply
    2,526.92x = 3,485.94 × 1,966.40
  4. Step 4: Simplify right side
    2,526.92x = 6,854,752.42
  5. Step 5: Solve for x
    x = 6,854,752.42/2,526.92
  6. Step 6: Final answer
    x = 2,712.69

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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.