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Finding the Fourth Proportional to 2,293.64, 3,437.80 and 976.98

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Solution

The fourth proportional to 2,293.64, 3,437.80 and 976.98 is: 1,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.64 : 3,437.80 = 976.98 : x
  2. Step 2: Convert to fraction form
    2,293.64/3,437.80 = 976.98/x
  3. Step 3: Cross multiply
    2,293.64x = 3,437.80 × 976.98
  4. Step 4: Simplify right side
    2,293.64x = 3,358,661.84
  5. Step 5: Solve for x
    x = 3,358,661.84/2,293.64
  6. Step 6: Final answer
    x = 1,464.34

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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.