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Finding the Fourth Proportional to 1,590.07, 2,192.02 and 1,309.86

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Solution

The fourth proportional to 1,590.07, 2,192.02 and 1,309.86 is: 1,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.07 : 2,192.02 = 1,309.86 : x
  2. Step 2: Convert to fraction form
    1,590.07/2,192.02 = 1,309.86/x
  3. Step 3: Cross multiply
    1,590.07x = 2,192.02 × 1,309.86
  4. Step 4: Simplify right side
    1,590.07x = 2,871,239.32
  5. Step 5: Solve for x
    x = 2,871,239.32/1,590.07
  6. Step 6: Final answer
    x = 1,805.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.