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Finding the Fourth Proportional to 2,437.76, 3,657 and 706.16

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Solution

The fourth proportional to 2,437.76, 3,657 and 706.16 is: 1,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.76 : 3,657 = 706.16 : x
  2. Step 2: Convert to fraction form
    2,437.76/3,657 = 706.16/x
  3. Step 3: Cross multiply
    2,437.76x = 3,657 × 706.16
  4. Step 4: Simplify right side
    2,437.76x = 2,582,427.12
  5. Step 5: Solve for x
    x = 2,582,427.12/2,437.76
  6. Step 6: Final answer
    x = 1,059.34

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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.