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Finding the Fourth Proportional to 1,868.10, 2,802.60 and 698.13

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Solution

The fourth proportional to 1,868.10, 2,802.60 and 698.13 is: 1,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.10 : 2,802.60 = 698.13 : x
  2. Step 2: Convert to fraction form
    1,868.10/2,802.60 = 698.13/x
  3. Step 3: Cross multiply
    1,868.10x = 2,802.60 × 698.13
  4. Step 4: Simplify right side
    1,868.10x = 1,956,579.14
  5. Step 5: Solve for x
    x = 1,956,579.14/1,868.10
  6. Step 6: Final answer
    x = 1,047.36

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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.