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Finding the Fourth Proportional to 2,436.60, 3,655.50 and 705.40

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Solution

The fourth proportional to 2,436.60, 3,655.50 and 705.40 is: 1,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.60 : 3,655.50 = 705.40 : x
  2. Step 2: Convert to fraction form
    2,436.60/3,655.50 = 705.40/x
  3. Step 3: Cross multiply
    2,436.60x = 3,655.50 × 705.40
  4. Step 4: Simplify right side
    2,436.60x = 2,578,589.70
  5. Step 5: Solve for x
    x = 2,578,589.70/2,436.60
  6. Step 6: Final answer
    x = 1,058.27

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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.