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Finding the Fourth Proportional to 2,356.16, 3,533.20 and 712.16

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Solution

The fourth proportional to 2,356.16, 3,533.20 and 712.16 is: 1,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.16 : 3,533.20 = 712.16 : x
  2. Step 2: Convert to fraction form
    2,356.16/3,533.20 = 712.16/x
  3. Step 3: Cross multiply
    2,356.16x = 3,533.20 × 712.16
  4. Step 4: Simplify right side
    2,356.16x = 2,516,203.71
  5. Step 5: Solve for x
    x = 2,516,203.71/2,356.16
  6. Step 6: Final answer
    x = 1,067.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.