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Finding the Fourth Proportional to 1,987.60, 2,745.56 and 1,527.60

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Solution

The fourth proportional to 1,987.60, 2,745.56 and 1,527.60 is: 2,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.60 : 2,745.56 = 1,527.60 : x
  2. Step 2: Convert to fraction form
    1,987.60/2,745.56 = 1,527.60/x
  3. Step 3: Cross multiply
    1,987.60x = 2,745.56 × 1,527.60
  4. Step 4: Simplify right side
    1,987.60x = 4,194,117.46
  5. Step 5: Solve for x
    x = 4,194,117.46/1,987.60
  6. Step 6: Final answer
    x = 2,110.14

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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.