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Finding the Fourth Proportional to 2,526.86, 3,487.07 and 1,407.80

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Solution

The fourth proportional to 2,526.86, 3,487.07 and 1,407.80 is: 1,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.86 : 3,487.07 = 1,407.80 : x
  2. Step 2: Convert to fraction form
    2,526.86/3,487.07 = 1,407.80/x
  3. Step 3: Cross multiply
    2,526.86x = 3,487.07 × 1,407.80
  4. Step 4: Simplify right side
    2,526.86x = 4,909,079.71
  5. Step 5: Solve for x
    x = 4,909,079.71/2,526.86
  6. Step 6: Final answer
    x = 1,942.76

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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.