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Finding the Fourth Proportional to 2,361.52, 3,259.20 and 1,430.02

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Solution

The fourth proportional to 2,361.52, 3,259.20 and 1,430.02 is: 1,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.52 : 3,259.20 = 1,430.02 : x
  2. Step 2: Convert to fraction form
    2,361.52/3,259.20 = 1,430.02/x
  3. Step 3: Cross multiply
    2,361.52x = 3,259.20 × 1,430.02
  4. Step 4: Simplify right side
    2,361.52x = 4,660,721.18
  5. Step 5: Solve for x
    x = 4,660,721.18/2,361.52
  6. Step 6: Final answer
    x = 1,973.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.