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Finding the Fourth Proportional to 1,346, 2,016.84 and 695.92

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Solution

The fourth proportional to 1,346, 2,016.84 and 695.92 is: 1,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346 : 2,016.84 = 695.92 : x
  2. Step 2: Convert to fraction form
    1,346/2,016.84 = 695.92/x
  3. Step 3: Cross multiply
    1,346x = 2,016.84 × 695.92
  4. Step 4: Simplify right side
    1,346x = 1,403,559.29
  5. Step 5: Solve for x
    x = 1,403,559.29/1,346
  6. Step 6: Final answer
    x = 1,042.76

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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.