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Finding the Fourth Proportional to 1,417.91, 1,957.06 and 969.57

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Solution

The fourth proportional to 1,417.91, 1,957.06 and 969.57 is: 1,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.91 : 1,957.06 = 969.57 : x
  2. Step 2: Convert to fraction form
    1,417.91/1,957.06 = 969.57/x
  3. Step 3: Cross multiply
    1,417.91x = 1,957.06 × 969.57
  4. Step 4: Simplify right side
    1,417.91x = 1,897,507.88
  5. Step 5: Solve for x
    x = 1,897,507.88/1,417.91
  6. Step 6: Final answer
    x = 1,338.25

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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.