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Finding the Fourth Proportional to 1,734.28, 2,602.50 and 1,264.93

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Solution

The fourth proportional to 1,734.28, 2,602.50 and 1,264.93 is: 1,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.28 : 2,602.50 = 1,264.93 : x
  2. Step 2: Convert to fraction form
    1,734.28/2,602.50 = 1,264.93/x
  3. Step 3: Cross multiply
    1,734.28x = 2,602.50 × 1,264.93
  4. Step 4: Simplify right side
    1,734.28x = 3,291,980.33
  5. Step 5: Solve for x
    x = 3,291,980.33/1,734.28
  6. Step 6: Final answer
    x = 1,898.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.