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Finding the Fourth Proportional to 1,868.49, 2,802.62 and 552.17

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Solution

The fourth proportional to 1,868.49, 2,802.62 and 552.17 is: 828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.49 : 2,802.62 = 552.17 : x
  2. Step 2: Convert to fraction form
    1,868.49/2,802.62 = 552.17/x
  3. Step 3: Cross multiply
    1,868.49x = 2,802.62 × 552.17
  4. Step 4: Simplify right side
    1,868.49x = 1,547,531.07
  5. Step 5: Solve for x
    x = 1,547,531.07/1,868.49
  6. Step 6: Final answer
    x = 828.23

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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.