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Finding the Fourth Proportional to 1,852.24, 2,762.66 and 1,561.66

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Solution

The fourth proportional to 1,852.24, 2,762.66 and 1,561.66 is: 2,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.24 : 2,762.66 = 1,561.66 : x
  2. Step 2: Convert to fraction form
    1,852.24/2,762.66 = 1,561.66/x
  3. Step 3: Cross multiply
    1,852.24x = 2,762.66 × 1,561.66
  4. Step 4: Simplify right side
    1,852.24x = 4,314,335.62
  5. Step 5: Solve for x
    x = 4,314,335.62/1,852.24
  6. Step 6: Final answer
    x = 2,329.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.