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Finding the Fourth Proportional to 2,547.98, 3,519.08 and 2,152.98

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Solution

The fourth proportional to 2,547.98, 3,519.08 and 2,152.98 is: 2,973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.98 : 3,519.08 = 2,152.98 : x
  2. Step 2: Convert to fraction form
    2,547.98/3,519.08 = 2,152.98/x
  3. Step 3: Cross multiply
    2,547.98x = 3,519.08 × 2,152.98
  4. Step 4: Simplify right side
    2,547.98x = 7,576,508.86
  5. Step 5: Solve for x
    x = 7,576,508.86/2,547.98
  6. Step 6: Final answer
    x = 2,973.54

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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.