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Finding the Fourth Proportional to 1,729.28, 2,386.68 and 983.28

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Solution

The fourth proportional to 1,729.28, 2,386.68 and 983.28 is: 1,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.28 : 2,386.68 = 983.28 : x
  2. Step 2: Convert to fraction form
    1,729.28/2,386.68 = 983.28/x
  3. Step 3: Cross multiply
    1,729.28x = 2,386.68 × 983.28
  4. Step 4: Simplify right side
    1,729.28x = 2,346,774.71
  5. Step 5: Solve for x
    x = 2,346,774.71/1,729.28
  6. Step 6: Final answer
    x = 1,357.08

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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.