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Finding the Fourth Proportional to 2,010.04, 3,013.60 and 913.84

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Solution

The fourth proportional to 2,010.04, 3,013.60 and 913.84 is: 1,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.04 : 3,013.60 = 913.84 : x
  2. Step 2: Convert to fraction form
    2,010.04/3,013.60 = 913.84/x
  3. Step 3: Cross multiply
    2,010.04x = 3,013.60 × 913.84
  4. Step 4: Simplify right side
    2,010.04x = 2,753,948.22
  5. Step 5: Solve for x
    x = 2,753,948.22/2,010.04
  6. Step 6: Final answer
    x = 1,370.10

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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.