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Finding the Fourth Proportional to 2,374.64, 3,277.36 and 1,366.64

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Solution

The fourth proportional to 2,374.64, 3,277.36 and 1,366.64 is: 1,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.64 : 3,277.36 = 1,366.64 : x
  2. Step 2: Convert to fraction form
    2,374.64/3,277.36 = 1,366.64/x
  3. Step 3: Cross multiply
    2,374.64x = 3,277.36 × 1,366.64
  4. Step 4: Simplify right side
    2,374.64x = 4,478,971.27
  5. Step 5: Solve for x
    x = 4,478,971.27/2,374.64
  6. Step 6: Final answer
    x = 1,886.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.