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Finding the Fourth Proportional to 2,364.92, 3,561.10 and 1,752.95

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Solution

The fourth proportional to 2,364.92, 3,561.10 and 1,752.95 is: 2,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.92 : 3,561.10 = 1,752.95 : x
  2. Step 2: Convert to fraction form
    2,364.92/3,561.10 = 1,752.95/x
  3. Step 3: Cross multiply
    2,364.92x = 3,561.10 × 1,752.95
  4. Step 4: Simplify right side
    2,364.92x = 6,242,421.48
  5. Step 5: Solve for x
    x = 6,242,421.48/2,364.92
  6. Step 6: Final answer
    x = 2,639.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.