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Finding the Fourth Proportional to 2,656.60, 3,986.70 and 1,014.52

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Solution

The fourth proportional to 2,656.60, 3,986.70 and 1,014.52 is: 1,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.60 : 3,986.70 = 1,014.52 : x
  2. Step 2: Convert to fraction form
    2,656.60/3,986.70 = 1,014.52/x
  3. Step 3: Cross multiply
    2,656.60x = 3,986.70 × 1,014.52
  4. Step 4: Simplify right side
    2,656.60x = 4,044,586.88
  5. Step 5: Solve for x
    x = 4,044,586.88/2,656.60
  6. Step 6: Final answer
    x = 1,522.47

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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.