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Finding the Fourth Proportional to 2,437.08, 3,655.62 and 705.71

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Solution

The fourth proportional to 2,437.08, 3,655.62 and 705.71 is: 1,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.08 : 3,655.62 = 705.71 : x
  2. Step 2: Convert to fraction form
    2,437.08/3,655.62 = 705.71/x
  3. Step 3: Cross multiply
    2,437.08x = 3,655.62 × 705.71
  4. Step 4: Simplify right side
    2,437.08x = 2,579,789.31
  5. Step 5: Solve for x
    x = 2,579,789.31/2,437.08
  6. Step 6: Final answer
    x = 1,058.56

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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.