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Finding the Fourth Proportional to 2,707.84, 4,058.36 and 1,455.35

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Solution

The fourth proportional to 2,707.84, 4,058.36 and 1,455.35 is: 2,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.84 : 4,058.36 = 1,455.35 : x
  2. Step 2: Convert to fraction form
    2,707.84/4,058.36 = 1,455.35/x
  3. Step 3: Cross multiply
    2,707.84x = 4,058.36 × 1,455.35
  4. Step 4: Simplify right side
    2,707.84x = 5,906,337.10
  5. Step 5: Solve for x
    x = 5,906,337.10/2,707.84
  6. Step 6: Final answer
    x = 2,181.20

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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.