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Finding the Fourth Proportional to 2,077.12, 3,117.05 and 981.57

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Solution

The fourth proportional to 2,077.12, 3,117.05 and 981.57 is: 1,473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.12 : 3,117.05 = 981.57 : x
  2. Step 2: Convert to fraction form
    2,077.12/3,117.05 = 981.57/x
  3. Step 3: Cross multiply
    2,077.12x = 3,117.05 × 981.57
  4. Step 4: Simplify right side
    2,077.12x = 3,059,602.77
  5. Step 5: Solve for x
    x = 3,059,602.77/2,077.12
  6. Step 6: Final answer
    x = 1,473.00

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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.