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Finding the Fourth Proportional to 2,356.76, 3,252.74 and 1,762.23

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Solution

The fourth proportional to 2,356.76, 3,252.74 and 1,762.23 is: 2,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.76 : 3,252.74 = 1,762.23 : x
  2. Step 2: Convert to fraction form
    2,356.76/3,252.74 = 1,762.23/x
  3. Step 3: Cross multiply
    2,356.76x = 3,252.74 × 1,762.23
  4. Step 4: Simplify right side
    2,356.76x = 5,732,076.01
  5. Step 5: Solve for x
    x = 5,732,076.01/2,356.76
  6. Step 6: Final answer
    x = 2,432.18

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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.