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Finding the Fourth Proportional to 1,831.34, 2,525.78 and 1,609.82

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Solution

The fourth proportional to 1,831.34, 2,525.78 and 1,609.82 is: 2,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.34 : 2,525.78 = 1,609.82 : x
  2. Step 2: Convert to fraction form
    1,831.34/2,525.78 = 1,609.82/x
  3. Step 3: Cross multiply
    1,831.34x = 2,525.78 × 1,609.82
  4. Step 4: Simplify right side
    1,831.34x = 4,066,051.16
  5. Step 5: Solve for x
    x = 4,066,051.16/1,831.34
  6. Step 6: Final answer
    x = 2,220.26

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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.