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Finding the Fourth Proportional to 2,707.12, 3,736.32 and 2,264.32

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Solution

The fourth proportional to 2,707.12, 3,736.32 and 2,264.32 is: 3,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.12 : 3,736.32 = 2,264.32 : x
  2. Step 2: Convert to fraction form
    2,707.12/3,736.32 = 2,264.32/x
  3. Step 3: Cross multiply
    2,707.12x = 3,736.32 × 2,264.32
  4. Step 4: Simplify right side
    2,707.12x = 8,460,224.10
  5. Step 5: Solve for x
    x = 8,460,224.10/2,707.12
  6. Step 6: Final answer
    x = 3,125.18

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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.