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Finding the Fourth Proportional to 2,326.74, 3,486.51 and 865.50

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Solution

The fourth proportional to 2,326.74, 3,486.51 and 865.50 is: 1,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.74 : 3,486.51 = 865.50 : x
  2. Step 2: Convert to fraction form
    2,326.74/3,486.51 = 865.50/x
  3. Step 3: Cross multiply
    2,326.74x = 3,486.51 × 865.50
  4. Step 4: Simplify right side
    2,326.74x = 3,017,574.41
  5. Step 5: Solve for x
    x = 3,017,574.41/2,326.74
  6. Step 6: Final answer
    x = 1,296.91

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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.