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Finding the Fourth Proportional to 1,860.57, 2,564.73 and 1,466.91

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Solution

The fourth proportional to 1,860.57, 2,564.73 and 1,466.91 is: 2,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.57 : 2,564.73 = 1,466.91 : x
  2. Step 2: Convert to fraction form
    1,860.57/2,564.73 = 1,466.91/x
  3. Step 3: Cross multiply
    1,860.57x = 2,564.73 × 1,466.91
  4. Step 4: Simplify right side
    1,860.57x = 3,762,228.08
  5. Step 5: Solve for x
    x = 3,762,228.08/1,860.57
  6. Step 6: Final answer
    x = 2,022.08

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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.