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Finding the Fourth Proportional to 1,705.28, 2,559.12 and 1,156.10

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Solution

The fourth proportional to 1,705.28, 2,559.12 and 1,156.10 is: 1,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.28 : 2,559.12 = 1,156.10 : x
  2. Step 2: Convert to fraction form
    1,705.28/2,559.12 = 1,156.10/x
  3. Step 3: Cross multiply
    1,705.28x = 2,559.12 × 1,156.10
  4. Step 4: Simplify right side
    1,705.28x = 2,958,598.63
  5. Step 5: Solve for x
    x = 2,958,598.63/1,705.28
  6. Step 6: Final answer
    x = 1,734.96

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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.