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Finding the Fourth Proportional to 1,337.79, 1,846.80 and 918.90

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Solution

The fourth proportional to 1,337.79, 1,846.80 and 918.90 is: 1,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.79 : 1,846.80 = 918.90 : x
  2. Step 2: Convert to fraction form
    1,337.79/1,846.80 = 918.90/x
  3. Step 3: Cross multiply
    1,337.79x = 1,846.80 × 918.90
  4. Step 4: Simplify right side
    1,337.79x = 1,697,024.52
  5. Step 5: Solve for x
    x = 1,697,024.52/1,337.79
  6. Step 6: Final answer
    x = 1,268.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.