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Finding the Fourth Proportional to 1,729.60, 2,386.32 and 983.53

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Solution

The fourth proportional to 1,729.60, 2,386.32 and 983.53 is: 1,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.60 : 2,386.32 = 983.53 : x
  2. Step 2: Convert to fraction form
    1,729.60/2,386.32 = 983.53/x
  3. Step 3: Cross multiply
    1,729.60x = 2,386.32 × 983.53
  4. Step 4: Simplify right side
    1,729.60x = 2,347,017.31
  5. Step 5: Solve for x
    x = 2,347,017.31/1,729.60
  6. Step 6: Final answer
    x = 1,356.97

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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.