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Finding the Fourth Proportional to 1,543.83, 2,130.62 and 946.32

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Solution

The fourth proportional to 1,543.83, 2,130.62 and 946.32 is: 1,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.83 : 2,130.62 = 946.32 : x
  2. Step 2: Convert to fraction form
    1,543.83/2,130.62 = 946.32/x
  3. Step 3: Cross multiply
    1,543.83x = 2,130.62 × 946.32
  4. Step 4: Simplify right side
    1,543.83x = 2,016,243.59
  5. Step 5: Solve for x
    x = 2,016,243.59/1,543.83
  6. Step 6: Final answer
    x = 1,306.00

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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.