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Finding the Fourth Proportional to 1,352.69, 1,866.01 and 880.01

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Solution

The fourth proportional to 1,352.69, 1,866.01 and 880.01 is: 1,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.69 : 1,866.01 = 880.01 : x
  2. Step 2: Convert to fraction form
    1,352.69/1,866.01 = 880.01/x
  3. Step 3: Cross multiply
    1,352.69x = 1,866.01 × 880.01
  4. Step 4: Simplify right side
    1,352.69x = 1,642,095.93
  5. Step 5: Solve for x
    x = 1,642,095.93/1,352.69
  6. Step 6: Final answer
    x = 1,213.95

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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.