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Finding the Fourth Proportional to 1,605.64, 2,215.76 and 897.44

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Solution

The fourth proportional to 1,605.64, 2,215.76 and 897.44 is: 1,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.64 : 2,215.76 = 897.44 : x
  2. Step 2: Convert to fraction form
    1,605.64/2,215.76 = 897.44/x
  3. Step 3: Cross multiply
    1,605.64x = 2,215.76 × 897.44
  4. Step 4: Simplify right side
    1,605.64x = 1,988,507.17
  5. Step 5: Solve for x
    x = 1,988,507.17/1,605.64
  6. Step 6: Final answer
    x = 1,238.45

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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.