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Finding the Fourth Proportional to 2,436.71, 3,655.24 and 705.47

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Solution

The fourth proportional to 2,436.71, 3,655.24 and 705.47 is: 1,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.71 : 3,655.24 = 705.47 : x
  2. Step 2: Convert to fraction form
    2,436.71/3,655.24 = 705.47/x
  3. Step 3: Cross multiply
    2,436.71x = 3,655.24 × 705.47
  4. Step 4: Simplify right side
    2,436.71x = 2,578,642.12
  5. Step 5: Solve for x
    x = 2,578,642.12/2,436.71
  6. Step 6: Final answer
    x = 1,058.25

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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.