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Finding the Fourth Proportional to 2,437.58, 3,656.88 and 976.74

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Solution

The fourth proportional to 2,437.58, 3,656.88 and 976.74 is: 1,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.58 : 3,656.88 = 976.74 : x
  2. Step 2: Convert to fraction form
    2,437.58/3,656.88 = 976.74/x
  3. Step 3: Cross multiply
    2,437.58x = 3,656.88 × 976.74
  4. Step 4: Simplify right side
    2,437.58x = 3,571,820.97
  5. Step 5: Solve for x
    x = 3,571,820.97/2,437.58
  6. Step 6: Final answer
    x = 1,465.32

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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.