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Finding the Fourth Proportional to 2,960.53, 4,085.53 and 1,616.14

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Solution

The fourth proportional to 2,960.53, 4,085.53 and 1,616.14 is: 2,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.53 : 4,085.53 = 1,616.14 : x
  2. Step 2: Convert to fraction form
    2,960.53/4,085.53 = 1,616.14/x
  3. Step 3: Cross multiply
    2,960.53x = 4,085.53 × 1,616.14
  4. Step 4: Simplify right side
    2,960.53x = 6,602,776.83
  5. Step 5: Solve for x
    x = 6,602,776.83/2,960.53
  6. Step 6: Final answer
    x = 2,230.27

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1.5x scale

Why These Related Problems?

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