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Finding the Fourth Proportional to 2,526.87, 3,486.99 and 1,407.86

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Solution

The fourth proportional to 2,526.87, 3,486.99 and 1,407.86 is: 1,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.87 : 3,486.99 = 1,407.86 : x
  2. Step 2: Convert to fraction form
    2,526.87/3,486.99 = 1,407.86/x
  3. Step 3: Cross multiply
    2,526.87x = 3,486.99 × 1,407.86
  4. Step 4: Simplify right side
    2,526.87x = 4,909,193.74
  5. Step 5: Solve for x
    x = 4,909,193.74/2,526.87
  6. Step 6: Final answer
    x = 1,942.80

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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.