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Finding the Fourth Proportional to 1,604.91, 2,215.43 and 1,015.35

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Solution

The fourth proportional to 1,604.91, 2,215.43 and 1,015.35 is: 1,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.91 : 2,215.43 = 1,015.35 : x
  2. Step 2: Convert to fraction form
    1,604.91/2,215.43 = 1,015.35/x
  3. Step 3: Cross multiply
    1,604.91x = 2,215.43 × 1,015.35
  4. Step 4: Simplify right side
    1,604.91x = 2,249,436.85
  5. Step 5: Solve for x
    x = 2,249,436.85/1,604.91
  6. Step 6: Final answer
    x = 1,401.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.