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Finding the Fourth Proportional to 2,701.42, 4,052.16 and 1,058.74

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Solution

The fourth proportional to 2,701.42, 4,052.16 and 1,058.74 is: 1,588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.42 : 4,052.16 = 1,058.74 : x
  2. Step 2: Convert to fraction form
    2,701.42/4,052.16 = 1,058.74/x
  3. Step 3: Cross multiply
    2,701.42x = 4,052.16 × 1,058.74
  4. Step 4: Simplify right side
    2,701.42x = 4,290,173.75
  5. Step 5: Solve for x
    x = 4,290,173.75/2,701.42
  6. Step 6: Final answer
    x = 1,588.12

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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.