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Finding the Fourth Proportional to 1,868.18, 2,802.27 and 569.66

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Solution

The fourth proportional to 1,868.18, 2,802.27 and 569.66 is: 854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.18 : 2,802.27 = 569.66 : x
  2. Step 2: Convert to fraction form
    1,868.18/2,802.27 = 569.66/x
  3. Step 3: Cross multiply
    1,868.18x = 2,802.27 × 569.66
  4. Step 4: Simplify right side
    1,868.18x = 1,596,341.13
  5. Step 5: Solve for x
    x = 1,596,341.13/1,868.18
  6. Step 6: Final answer
    x = 854.49

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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.