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Finding the Fourth Proportional to 1,646.15, 2,271.71 and 900.09

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Solution

The fourth proportional to 1,646.15, 2,271.71 and 900.09 is: 1,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.15 : 2,271.71 = 900.09 : x
  2. Step 2: Convert to fraction form
    1,646.15/2,271.71 = 900.09/x
  3. Step 3: Cross multiply
    1,646.15x = 2,271.71 × 900.09
  4. Step 4: Simplify right side
    1,646.15x = 2,044,745.70
  5. Step 5: Solve for x
    x = 2,044,745.70/1,646.15
  6. Step 6: Final answer
    x = 1,242.14

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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.