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Finding the Fourth Proportional to 1,734.54, 2,613.40 and 1,570.17

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Solution

The fourth proportional to 1,734.54, 2,613.40 and 1,570.17 is: 2,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.54 : 2,613.40 = 1,570.17 : x
  2. Step 2: Convert to fraction form
    1,734.54/2,613.40 = 1,570.17/x
  3. Step 3: Cross multiply
    1,734.54x = 2,613.40 × 1,570.17
  4. Step 4: Simplify right side
    1,734.54x = 4,103,482.28
  5. Step 5: Solve for x
    x = 4,103,482.28/1,734.54
  6. Step 6: Final answer
    x = 2,365.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.