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Finding the Fourth Proportional to 1,705.91, 2,352.78 and 1,146.02

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Solution

The fourth proportional to 1,705.91, 2,352.78 and 1,146.02 is: 1,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.91 : 2,352.78 = 1,146.02 : x
  2. Step 2: Convert to fraction form
    1,705.91/2,352.78 = 1,146.02/x
  3. Step 3: Cross multiply
    1,705.91x = 2,352.78 × 1,146.02
  4. Step 4: Simplify right side
    1,705.91x = 2,696,321.17
  5. Step 5: Solve for x
    x = 2,696,321.17/1,705.91
  6. Step 6: Final answer
    x = 1,580.58

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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.