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Finding the Fourth Proportional to 1,697.84, 2,547.24 and 543.68

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Solution

The fourth proportional to 1,697.84, 2,547.24 and 543.68 is: 815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.84 : 2,547.24 = 543.68 : x
  2. Step 2: Convert to fraction form
    1,697.84/2,547.24 = 543.68/x
  3. Step 3: Cross multiply
    1,697.84x = 2,547.24 × 543.68
  4. Step 4: Simplify right side
    1,697.84x = 1,384,883.44
  5. Step 5: Solve for x
    x = 1,384,883.44/1,697.84
  6. Step 6: Final answer
    x = 815.67

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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.