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Finding the Fourth Proportional to 2,335.02, 3,499.23 and 1,295.50

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Solution

The fourth proportional to 2,335.02, 3,499.23 and 1,295.50 is: 1,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.02 : 3,499.23 = 1,295.50 : x
  2. Step 2: Convert to fraction form
    2,335.02/3,499.23 = 1,295.50/x
  3. Step 3: Cross multiply
    2,335.02x = 3,499.23 × 1,295.50
  4. Step 4: Simplify right side
    2,335.02x = 4,533,252.47
  5. Step 5: Solve for x
    x = 4,533,252.47/2,335.02
  6. Step 6: Final answer
    x = 1,941.42

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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.