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Finding the Fourth Proportional to 1,543.03, 2,130.07 and 984.25

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Solution

The fourth proportional to 1,543.03, 2,130.07 and 984.25 is: 1,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.03 : 2,130.07 = 984.25 : x
  2. Step 2: Convert to fraction form
    1,543.03/2,130.07 = 984.25/x
  3. Step 3: Cross multiply
    1,543.03x = 2,130.07 × 984.25
  4. Step 4: Simplify right side
    1,543.03x = 2,096,521.40
  5. Step 5: Solve for x
    x = 2,096,521.40/1,543.03
  6. Step 6: Final answer
    x = 1,358.70

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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.