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Finding the Fourth Proportional to 1,498.50, 2,068.20 and 877.50

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Solution

The fourth proportional to 1,498.50, 2,068.20 and 877.50 is: 1,211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.50 : 2,068.20 = 877.50 : x
  2. Step 2: Convert to fraction form
    1,498.50/2,068.20 = 877.50/x
  3. Step 3: Cross multiply
    1,498.50x = 2,068.20 × 877.50
  4. Step 4: Simplify right side
    1,498.50x = 1,814,845.50
  5. Step 5: Solve for x
    x = 1,814,845.50/1,498.50
  6. Step 6: Final answer
    x = 1,211.11

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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.