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Finding the Fourth Proportional to 2,034.15, 3,051.12 and 647.55

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Solution

The fourth proportional to 2,034.15, 3,051.12 and 647.55 is: 971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.15 : 3,051.12 = 647.55 : x
  2. Step 2: Convert to fraction form
    2,034.15/3,051.12 = 647.55/x
  3. Step 3: Cross multiply
    2,034.15x = 3,051.12 × 647.55
  4. Step 4: Simplify right side
    2,034.15x = 1,975,752.76
  5. Step 5: Solve for x
    x = 1,975,752.76/2,034.15
  6. Step 6: Final answer
    x = 971.29

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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.