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Finding the Fourth Proportional to 1,392.17, 2,085.11 and 977.54

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Solution

The fourth proportional to 1,392.17, 2,085.11 and 977.54 is: 1,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.17 : 2,085.11 = 977.54 : x
  2. Step 2: Convert to fraction form
    1,392.17/2,085.11 = 977.54/x
  3. Step 3: Cross multiply
    1,392.17x = 2,085.11 × 977.54
  4. Step 4: Simplify right side
    1,392.17x = 2,038,278.75
  5. Step 5: Solve for x
    x = 2,038,278.75/1,392.17
  6. Step 6: Final answer
    x = 1,464.11

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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.