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Finding the Fourth Proportional to 1,430.96, 2,142.12 and 1,294.07

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Solution

The fourth proportional to 1,430.96, 2,142.12 and 1,294.07 is: 1,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.96 : 2,142.12 = 1,294.07 : x
  2. Step 2: Convert to fraction form
    1,430.96/2,142.12 = 1,294.07/x
  3. Step 3: Cross multiply
    1,430.96x = 2,142.12 × 1,294.07
  4. Step 4: Simplify right side
    1,430.96x = 2,772,053.23
  5. Step 5: Solve for x
    x = 2,772,053.23/1,430.96
  6. Step 6: Final answer
    x = 1,937.20

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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.