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Finding the Fourth Proportional to 2,335.63, 3,503.44 and 875.47

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Solution

The fourth proportional to 2,335.63, 3,503.44 and 875.47 is: 1,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.63 : 3,503.44 = 875.47 : x
  2. Step 2: Convert to fraction form
    2,335.63/3,503.44 = 875.47/x
  3. Step 3: Cross multiply
    2,335.63x = 3,503.44 × 875.47
  4. Step 4: Simplify right side
    2,335.63x = 3,067,139.10
  5. Step 5: Solve for x
    x = 3,067,139.10/2,335.63
  6. Step 6: Final answer
    x = 1,313.20

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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.