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Finding the Fourth Proportional to 1,603.17, 2,212.35 and 895.07

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Solution

The fourth proportional to 1,603.17, 2,212.35 and 895.07 is: 1,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.17 : 2,212.35 = 895.07 : x
  2. Step 2: Convert to fraction form
    1,603.17/2,212.35 = 895.07/x
  3. Step 3: Cross multiply
    1,603.17x = 2,212.35 × 895.07
  4. Step 4: Simplify right side
    1,603.17x = 1,980,208.11
  5. Step 5: Solve for x
    x = 1,980,208.11/1,603.17
  6. Step 6: Final answer
    x = 1,235.18

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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.