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Finding the Fourth Proportional to 1,603.38, 2,212.38 and 895.14

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Solution

The fourth proportional to 1,603.38, 2,212.38 and 895.14 is: 1,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.38 : 2,212.38 = 895.14 : x
  2. Step 2: Convert to fraction form
    1,603.38/2,212.38 = 895.14/x
  3. Step 3: Cross multiply
    1,603.38x = 2,212.38 × 895.14
  4. Step 4: Simplify right side
    1,603.38x = 1,980,389.83
  5. Step 5: Solve for x
    x = 1,980,389.83/1,603.38
  6. Step 6: Final answer
    x = 1,235.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.