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Finding the Fourth Proportional to 3,264.06, 4,502.88 and 1,866

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Solution

The fourth proportional to 3,264.06, 4,502.88 and 1,866 is: 2,574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.06 : 4,502.88 = 1,866 : x
  2. Step 2: Convert to fraction form
    3,264.06/4,502.88 = 1,866/x
  3. Step 3: Cross multiply
    3,264.06x = 4,502.88 × 1,866
  4. Step 4: Simplify right side
    3,264.06x = 8,402,374.08
  5. Step 5: Solve for x
    x = 8,402,374.08/3,264.06
  6. Step 6: Final answer
    x = 2,574.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.