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Finding the Fourth Proportional to 1,540.60, 2,125.76 and 877.50

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Solution

The fourth proportional to 1,540.60, 2,125.76 and 877.50 is: 1,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.60 : 2,125.76 = 877.50 : x
  2. Step 2: Convert to fraction form
    1,540.60/2,125.76 = 877.50/x
  3. Step 3: Cross multiply
    1,540.60x = 2,125.76 × 877.50
  4. Step 4: Simplify right side
    1,540.60x = 1,865,354.40
  5. Step 5: Solve for x
    x = 1,865,354.40/1,540.60
  6. Step 6: Final answer
    x = 1,210.80

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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.