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Finding the Fourth Proportional to 1,862.03, 2,567.30 and 1,564.44

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Solution

The fourth proportional to 1,862.03, 2,567.30 and 1,564.44 is: 2,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.03 : 2,567.30 = 1,564.44 : x
  2. Step 2: Convert to fraction form
    1,862.03/2,567.30 = 1,564.44/x
  3. Step 3: Cross multiply
    1,862.03x = 2,567.30 × 1,564.44
  4. Step 4: Simplify right side
    1,862.03x = 4,016,378.99
  5. Step 5: Solve for x
    x = 4,016,378.99/1,862.03
  6. Step 6: Final answer
    x = 2,157.00

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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.