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Finding the Fourth Proportional to 1,868.09, 2,802.17 and 569.57

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Solution

The fourth proportional to 1,868.09, 2,802.17 and 569.57 is: 854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.09 : 2,802.17 = 569.57 : x
  2. Step 2: Convert to fraction form
    1,868.09/2,802.17 = 569.57/x
  3. Step 3: Cross multiply
    1,868.09x = 2,802.17 × 569.57
  4. Step 4: Simplify right side
    1,868.09x = 1,596,029.12
  5. Step 5: Solve for x
    x = 1,596,029.12/1,868.09
  6. Step 6: Final answer
    x = 854.36

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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.