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Finding the Fourth Proportional to 2,437.33, 3,656.00 and 705.96

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Solution

The fourth proportional to 2,437.33, 3,656.00 and 705.96 is: 1,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.33 : 3,656.00 = 705.96 : x
  2. Step 2: Convert to fraction form
    2,437.33/3,656.00 = 705.96/x
  3. Step 3: Cross multiply
    2,437.33x = 3,656.00 × 705.96
  4. Step 4: Simplify right side
    2,437.33x = 2,580,967.95
  5. Step 5: Solve for x
    x = 2,580,967.95/2,437.33
  6. Step 6: Final answer
    x = 1,058.93

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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.