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Finding the Fourth Proportional to 1,595.74, 2,398.23 and 1,485.01

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Solution

The fourth proportional to 1,595.74, 2,398.23 and 1,485.01 is: 2,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.74 : 2,398.23 = 1,485.01 : x
  2. Step 2: Convert to fraction form
    1,595.74/2,398.23 = 1,485.01/x
  3. Step 3: Cross multiply
    1,595.74x = 2,398.23 × 1,485.01
  4. Step 4: Simplify right side
    1,595.74x = 3,561,395.53
  5. Step 5: Solve for x
    x = 3,561,395.53/1,595.74
  6. Step 6: Final answer
    x = 2,231.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.