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Finding the Fourth Proportional to 2,034.40, 3,050.52 and 647.14

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Solution

The fourth proportional to 2,034.40, 3,050.52 and 647.14 is: 970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.40 : 3,050.52 = 647.14 : x
  2. Step 2: Convert to fraction form
    2,034.40/3,050.52 = 647.14/x
  3. Step 3: Cross multiply
    2,034.40x = 3,050.52 × 647.14
  4. Step 4: Simplify right side
    2,034.40x = 1,974,113.51
  5. Step 5: Solve for x
    x = 1,974,113.51/2,034.40
  6. Step 6: Final answer
    x = 970.37

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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.