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Finding the Fourth Proportional to 4,802.75, 7,204.53 and 1,340

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Solution

The fourth proportional to 4,802.75, 7,204.53 and 1,340 is: 2,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.75 : 7,204.53 = 1,340 : x
  2. Step 2: Convert to fraction form
    4,802.75/7,204.53 = 1,340/x
  3. Step 3: Cross multiply
    4,802.75x = 7,204.53 × 1,340
  4. Step 4: Simplify right side
    4,802.75x = 9,654,070.20
  5. Step 5: Solve for x
    x = 9,654,070.20/4,802.75
  6. Step 6: Final answer
    x = 2,010.11

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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.