Home / 1,561.14-2,154.33-898.09

Finding the Fourth Proportional to 1,561.14, 2,154.33 and 898.09

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Solution

The fourth proportional to 1,561.14, 2,154.33 and 898.09 is: 1,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.14 : 2,154.33 = 898.09 : x
  2. Step 2: Convert to fraction form
    1,561.14/2,154.33 = 898.09/x
  3. Step 3: Cross multiply
    1,561.14x = 2,154.33 × 898.09
  4. Step 4: Simplify right side
    1,561.14x = 1,934,776.84
  5. Step 5: Solve for x
    x = 1,934,776.84/1,561.14
  6. Step 6: Final answer
    x = 1,239.34

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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.