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Finding the Fourth Proportional to 1,735.08, 2,394 and 1,146.60

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Solution

The fourth proportional to 1,735.08, 2,394 and 1,146.60 is: 1,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.08 : 2,394 = 1,146.60 : x
  2. Step 2: Convert to fraction form
    1,735.08/2,394 = 1,146.60/x
  3. Step 3: Cross multiply
    1,735.08x = 2,394 × 1,146.60
  4. Step 4: Simplify right side
    1,735.08x = 2,744,960.40
  5. Step 5: Solve for x
    x = 2,744,960.40/1,735.08
  6. Step 6: Final answer
    x = 1,582.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.