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Finding the Fourth Proportional to 1,603.30, 2,212.46 and 895.12

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Solution

The fourth proportional to 1,603.30, 2,212.46 and 895.12 is: 1,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.30 : 2,212.46 = 895.12 : x
  2. Step 2: Convert to fraction form
    1,603.30/2,212.46 = 895.12/x
  3. Step 3: Cross multiply
    1,603.30x = 2,212.46 × 895.12
  4. Step 4: Simplify right side
    1,603.30x = 1,980,417.20
  5. Step 5: Solve for x
    x = 1,980,417.20/1,603.30
  6. Step 6: Final answer
    x = 1,235.21

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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.