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Finding the Fourth Proportional to 2,437.83, 3,657.09 and 706.23

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Solution

The fourth proportional to 2,437.83, 3,657.09 and 706.23 is: 1,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.83 : 3,657.09 = 706.23 : x
  2. Step 2: Convert to fraction form
    2,437.83/3,657.09 = 706.23/x
  3. Step 3: Cross multiply
    2,437.83x = 3,657.09 × 706.23
  4. Step 4: Simplify right side
    2,437.83x = 2,582,746.67
  5. Step 5: Solve for x
    x = 2,582,746.67/2,437.83
  6. Step 6: Final answer
    x = 1,059.44

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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.