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Finding the Fourth Proportional to 2,547.38, 3,821.27 and 988.67

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Solution

The fourth proportional to 2,547.38, 3,821.27 and 988.67 is: 1,483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.38 : 3,821.27 = 988.67 : x
  2. Step 2: Convert to fraction form
    2,547.38/3,821.27 = 988.67/x
  3. Step 3: Cross multiply
    2,547.38x = 3,821.27 × 988.67
  4. Step 4: Simplify right side
    2,547.38x = 3,777,950.96
  5. Step 5: Solve for x
    x = 3,777,950.96/2,547.38
  6. Step 6: Final answer
    x = 1,483.08

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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.