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Finding the Fourth Proportional to 1,427.04, 1,969.68 and 985.92

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Solution

The fourth proportional to 1,427.04, 1,969.68 and 985.92 is: 1,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.04 : 1,969.68 = 985.92 : x
  2. Step 2: Convert to fraction form
    1,427.04/1,969.68 = 985.92/x
  3. Step 3: Cross multiply
    1,427.04x = 1,969.68 × 985.92
  4. Step 4: Simplify right side
    1,427.04x = 1,941,946.91
  5. Step 5: Solve for x
    x = 1,941,946.91/1,427.04
  6. Step 6: Final answer
    x = 1,360.82

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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.