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Finding the Fourth Proportional to 2,437.64, 3,657 and 706.28

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Solution

The fourth proportional to 2,437.64, 3,657 and 706.28 is: 1,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.64 : 3,657 = 706.28 : x
  2. Step 2: Convert to fraction form
    2,437.64/3,657 = 706.28/x
  3. Step 3: Cross multiply
    2,437.64x = 3,657 × 706.28
  4. Step 4: Simplify right side
    2,437.64x = 2,582,865.96
  5. Step 5: Solve for x
    x = 2,582,865.96/2,437.64
  6. Step 6: Final answer
    x = 1,059.58

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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.