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Finding the Fourth Proportional to 2,703.44, 4,054.96 and 1,614.72

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Solution

The fourth proportional to 2,703.44, 4,054.96 and 1,614.72 is: 2,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.44 : 4,054.96 = 1,614.72 : x
  2. Step 2: Convert to fraction form
    2,703.44/4,054.96 = 1,614.72/x
  3. Step 3: Cross multiply
    2,703.44x = 4,054.96 × 1,614.72
  4. Step 4: Simplify right side
    2,703.44x = 6,547,625.01
  5. Step 5: Solve for x
    x = 6,547,625.01/2,703.44
  6. Step 6: Final answer
    x = 2,421.96

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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.