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Finding the Fourth Proportional to 1,953, 2,695.14 and 1,787.76

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Solution

The fourth proportional to 1,953, 2,695.14 and 1,787.76 is: 2,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953 : 2,695.14 = 1,787.76 : x
  2. Step 2: Convert to fraction form
    1,953/2,695.14 = 1,787.76/x
  3. Step 3: Cross multiply
    1,953x = 2,695.14 × 1,787.76
  4. Step 4: Simplify right side
    1,953x = 4,818,263.49
  5. Step 5: Solve for x
    x = 4,818,263.49/1,953
  6. Step 6: Final answer
    x = 2,467.11

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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.