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Finding the Fourth Proportional to 2,356.72, 3,509.44 and 2,330.88

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Solution

The fourth proportional to 2,356.72, 3,509.44 and 2,330.88 is: 3,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.72 : 3,509.44 = 2,330.88 : x
  2. Step 2: Convert to fraction form
    2,356.72/3,509.44 = 2,330.88/x
  3. Step 3: Cross multiply
    2,356.72x = 3,509.44 × 2,330.88
  4. Step 4: Simplify right side
    2,356.72x = 8,180,083.51
  5. Step 5: Solve for x
    x = 8,180,083.51/2,356.72
  6. Step 6: Final answer
    x = 3,470.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.