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Finding the Fourth Proportional to 1,934.64, 2,671.74 and 1,461.76

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Solution

The fourth proportional to 1,934.64, 2,671.74 and 1,461.76 is: 2,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.64 : 2,671.74 = 1,461.76 : x
  2. Step 2: Convert to fraction form
    1,934.64/2,671.74 = 1,461.76/x
  3. Step 3: Cross multiply
    1,934.64x = 2,671.74 × 1,461.76
  4. Step 4: Simplify right side
    1,934.64x = 3,905,442.66
  5. Step 5: Solve for x
    x = 3,905,442.66/1,934.64
  6. Step 6: Final answer
    x = 2,018.69

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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.