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Finding the Fourth Proportional to 2,552.16, 3,828.32 and 703.26

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Solution

The fourth proportional to 2,552.16, 3,828.32 and 703.26 is: 1,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.16 : 3,828.32 = 703.26 : x
  2. Step 2: Convert to fraction form
    2,552.16/3,828.32 = 703.26/x
  3. Step 3: Cross multiply
    2,552.16x = 3,828.32 × 703.26
  4. Step 4: Simplify right side
    2,552.16x = 2,692,300.81
  5. Step 5: Solve for x
    x = 2,692,300.81/2,552.16
  6. Step 6: Final answer
    x = 1,054.91

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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.