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Finding the Fourth Proportional to 1,867.84, 2,802.06 and 569

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Solution

The fourth proportional to 1,867.84, 2,802.06 and 569 is: 853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.84 : 2,802.06 = 569 : x
  2. Step 2: Convert to fraction form
    1,867.84/2,802.06 = 569/x
  3. Step 3: Cross multiply
    1,867.84x = 2,802.06 × 569
  4. Step 4: Simplify right side
    1,867.84x = 1,594,372.14
  5. Step 5: Solve for x
    x = 1,594,372.14/1,867.84
  6. Step 6: Final answer
    x = 853.59

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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.