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Finding the Fourth Proportional to 1,545, 2,326.75 and 1,406.76

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Solution

The fourth proportional to 1,545, 2,326.75 and 1,406.76 is: 2,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545 : 2,326.75 = 1,406.76 : x
  2. Step 2: Convert to fraction form
    1,545/2,326.75 = 1,406.76/x
  3. Step 3: Cross multiply
    1,545x = 2,326.75 × 1,406.76
  4. Step 4: Simplify right side
    1,545x = 3,273,178.83
  5. Step 5: Solve for x
    x = 3,273,178.83/1,545
  6. Step 6: Final answer
    x = 2,118.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.