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Finding the Fourth Proportional to 1,430.83, 2,143.16 and 966.05

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Solution

The fourth proportional to 1,430.83, 2,143.16 and 966.05 is: 1,447.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.83 : 2,143.16 = 966.05 : x
  2. Step 2: Convert to fraction form
    1,430.83/2,143.16 = 966.05/x
  3. Step 3: Cross multiply
    1,430.83x = 2,143.16 × 966.05
  4. Step 4: Simplify right side
    1,430.83x = 2,070,403.87
  5. Step 5: Solve for x
    x = 2,070,403.87/1,430.83
  6. Step 6: Final answer
    x = 1,447.00

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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.