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Finding the Fourth Proportional to 1,590.92, 2,373.47 and 1,504.81

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Solution

The fourth proportional to 1,590.92, 2,373.47 and 1,504.81 is: 2,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.92 : 2,373.47 = 1,504.81 : x
  2. Step 2: Convert to fraction form
    1,590.92/2,373.47 = 1,504.81/x
  3. Step 3: Cross multiply
    1,590.92x = 2,373.47 × 1,504.81
  4. Step 4: Simplify right side
    1,590.92x = 3,571,611.57
  5. Step 5: Solve for x
    x = 3,571,611.57/1,590.92
  6. Step 6: Final answer
    x = 2,245.00

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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.