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Finding the Fourth Proportional to 3,265.61, 4,894.13 and 1,510.39

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Solution

The fourth proportional to 3,265.61, 4,894.13 and 1,510.39 is: 2,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.61 : 4,894.13 = 1,510.39 : x
  2. Step 2: Convert to fraction form
    3,265.61/4,894.13 = 1,510.39/x
  3. Step 3: Cross multiply
    3,265.61x = 4,894.13 × 1,510.39
  4. Step 4: Simplify right side
    3,265.61x = 7,392,036.55
  5. Step 5: Solve for x
    x = 7,392,036.55/3,265.61
  6. Step 6: Final answer
    x = 2,263.60

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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.