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Finding the Fourth Proportional to 1,860.54, 2,567.39 and 1,021.22

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Solution

The fourth proportional to 1,860.54, 2,567.39 and 1,021.22 is: 1,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.54 : 2,567.39 = 1,021.22 : x
  2. Step 2: Convert to fraction form
    1,860.54/2,567.39 = 1,021.22/x
  3. Step 3: Cross multiply
    1,860.54x = 2,567.39 × 1,021.22
  4. Step 4: Simplify right side
    1,860.54x = 2,621,870.02
  5. Step 5: Solve for x
    x = 2,621,870.02/1,860.54
  6. Step 6: Final answer
    x = 1,409.20

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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.