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Finding the Fourth Proportional to 2,726.07, 4,089.15 and 1,430.07

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Solution

The fourth proportional to 2,726.07, 4,089.15 and 1,430.07 is: 2,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.07 : 4,089.15 = 1,430.07 : x
  2. Step 2: Convert to fraction form
    2,726.07/4,089.15 = 1,430.07/x
  3. Step 3: Cross multiply
    2,726.07x = 4,089.15 × 1,430.07
  4. Step 4: Simplify right side
    2,726.07x = 5,847,770.74
  5. Step 5: Solve for x
    x = 5,847,770.74/2,726.07
  6. Step 6: Final answer
    x = 2,145.13

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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.