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Finding the Fourth Proportional to 2,703.51, 3,723.12 and 2,482.07

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Solution

The fourth proportional to 2,703.51, 3,723.12 and 2,482.07 is: 3,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.51 : 3,723.12 = 2,482.07 : x
  2. Step 2: Convert to fraction form
    2,703.51/3,723.12 = 2,482.07/x
  3. Step 3: Cross multiply
    2,703.51x = 3,723.12 × 2,482.07
  4. Step 4: Simplify right side
    2,703.51x = 9,241,025.84
  5. Step 5: Solve for x
    x = 9,241,025.84/2,703.51
  6. Step 6: Final answer
    x = 3,418.16

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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.