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Finding the Fourth Proportional to 1,389.17, 2,081.45 and 977.45

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Solution

The fourth proportional to 1,389.17, 2,081.45 and 977.45 is: 1,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.17 : 2,081.45 = 977.45 : x
  2. Step 2: Convert to fraction form
    1,389.17/2,081.45 = 977.45/x
  3. Step 3: Cross multiply
    1,389.17x = 2,081.45 × 977.45
  4. Step 4: Simplify right side
    1,389.17x = 2,034,505.34
  5. Step 5: Solve for x
    x = 2,034,505.34/1,389.17
  6. Step 6: Final answer
    x = 1,464.54

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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.