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Finding the Fourth Proportional to 1,735.52, 2,394.96 and 1,036.48

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Solution

The fourth proportional to 1,735.52, 2,394.96 and 1,036.48 is: 1,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.52 : 2,394.96 = 1,036.48 : x
  2. Step 2: Convert to fraction form
    1,735.52/2,394.96 = 1,036.48/x
  3. Step 3: Cross multiply
    1,735.52x = 2,394.96 × 1,036.48
  4. Step 4: Simplify right side
    1,735.52x = 2,482,328.14
  5. Step 5: Solve for x
    x = 2,482,328.14/1,735.52
  6. Step 6: Final answer
    x = 1,430.31

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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.