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Finding the Fourth Proportional to 1,609.16, 2,396.43 and 1,554.48

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Solution

The fourth proportional to 1,609.16, 2,396.43 and 1,554.48 is: 2,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.16 : 2,396.43 = 1,554.48 : x
  2. Step 2: Convert to fraction form
    1,609.16/2,396.43 = 1,554.48/x
  3. Step 3: Cross multiply
    1,609.16x = 2,396.43 × 1,554.48
  4. Step 4: Simplify right side
    1,609.16x = 3,725,202.51
  5. Step 5: Solve for x
    x = 3,725,202.51/1,609.16
  6. Step 6: Final answer
    x = 2,315.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.