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Finding the Fourth Proportional to 1,362.11, 1,878.95 and 802.49

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Solution

The fourth proportional to 1,362.11, 1,878.95 and 802.49 is: 1,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.11 : 1,878.95 = 802.49 : x
  2. Step 2: Convert to fraction form
    1,362.11/1,878.95 = 802.49/x
  3. Step 3: Cross multiply
    1,362.11x = 1,878.95 × 802.49
  4. Step 4: Simplify right side
    1,362.11x = 1,507,825.18
  5. Step 5: Solve for x
    x = 1,507,825.18/1,362.11
  6. Step 6: Final answer
    x = 1,106.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.