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Finding the Fourth Proportional to 2,741.35, 4,112.03 and 1,570.90

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Solution

The fourth proportional to 2,741.35, 4,112.03 and 1,570.90 is: 2,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.35 : 4,112.03 = 1,570.90 : x
  2. Step 2: Convert to fraction form
    2,741.35/4,112.03 = 1,570.90/x
  3. Step 3: Cross multiply
    2,741.35x = 4,112.03 × 1,570.90
  4. Step 4: Simplify right side
    2,741.35x = 6,459,587.93
  5. Step 5: Solve for x
    x = 6,459,587.93/2,741.35
  6. Step 6: Final answer
    x = 2,356.35

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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.