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Finding the Fourth Proportional to 2,526.86, 3,789.98 and 678.12

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Solution

The fourth proportional to 2,526.86, 3,789.98 and 678.12 is: 1,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.86 : 3,789.98 = 678.12 : x
  2. Step 2: Convert to fraction form
    2,526.86/3,789.98 = 678.12/x
  3. Step 3: Cross multiply
    2,526.86x = 3,789.98 × 678.12
  4. Step 4: Simplify right side
    2,526.86x = 2,570,061.24
  5. Step 5: Solve for x
    x = 2,570,061.24/2,526.86
  6. Step 6: Final answer
    x = 1,017.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.