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Finding the Fourth Proportional to 1,544.65, 2,130.77 and 984.13

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Solution

The fourth proportional to 1,544.65, 2,130.77 and 984.13 is: 1,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.65 : 2,130.77 = 984.13 : x
  2. Step 2: Convert to fraction form
    1,544.65/2,130.77 = 984.13/x
  3. Step 3: Cross multiply
    1,544.65x = 2,130.77 × 984.13
  4. Step 4: Simplify right side
    1,544.65x = 2,096,951.81
  5. Step 5: Solve for x
    x = 2,096,951.81/1,544.65
  6. Step 6: Final answer
    x = 1,357.56

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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.