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Finding the Fourth Proportional to 1,430.76, 2,146.02 and 661.26

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Solution

The fourth proportional to 1,430.76, 2,146.02 and 661.26 is: 991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.76 : 2,146.02 = 661.26 : x
  2. Step 2: Convert to fraction form
    1,430.76/2,146.02 = 661.26/x
  3. Step 3: Cross multiply
    1,430.76x = 2,146.02 × 661.26
  4. Step 4: Simplify right side
    1,430.76x = 1,419,077.19
  5. Step 5: Solve for x
    x = 1,419,077.19/1,430.76
  6. Step 6: Final answer
    x = 991.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.