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Finding the Fourth Proportional to 1,852.13, 2,776.56 and 698.69

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Solution

The fourth proportional to 1,852.13, 2,776.56 and 698.69 is: 1,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.13 : 2,776.56 = 698.69 : x
  2. Step 2: Convert to fraction form
    1,852.13/2,776.56 = 698.69/x
  3. Step 3: Cross multiply
    1,852.13x = 2,776.56 × 698.69
  4. Step 4: Simplify right side
    1,852.13x = 1,939,954.71
  5. Step 5: Solve for x
    x = 1,939,954.71/1,852.13
  6. Step 6: Final answer
    x = 1,047.42

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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.