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Finding the Fourth Proportional to 2,547.39, 3,820.77 and 698.67

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Solution

The fourth proportional to 2,547.39, 3,820.77 and 698.67 is: 1,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.39 : 3,820.77 = 698.67 : x
  2. Step 2: Convert to fraction form
    2,547.39/3,820.77 = 698.67/x
  3. Step 3: Cross multiply
    2,547.39x = 3,820.77 × 698.67
  4. Step 4: Simplify right side
    2,547.39x = 2,669,457.38
  5. Step 5: Solve for x
    x = 2,669,457.38/2,547.39
  6. Step 6: Final answer
    x = 1,047.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.