Home / 1,735.20-2,602.56-695.16

Finding the Fourth Proportional to 1,735.20, 2,602.56 and 695.16

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Solution

The fourth proportional to 1,735.20, 2,602.56 and 695.16 is: 1,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.20 : 2,602.56 = 695.16 : x
  2. Step 2: Convert to fraction form
    1,735.20/2,602.56 = 695.16/x
  3. Step 3: Cross multiply
    1,735.20x = 2,602.56 × 695.16
  4. Step 4: Simplify right side
    1,735.20x = 1,809,195.61
  5. Step 5: Solve for x
    x = 1,809,195.61/1,735.20
  6. Step 6: Final answer
    x = 1,042.64

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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.