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Finding the Fourth Proportional to 1,831.50, 2,527.61 and 1,133.01

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Solution

The fourth proportional to 1,831.50, 2,527.61 and 1,133.01 is: 1,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.50 : 2,527.61 = 1,133.01 : x
  2. Step 2: Convert to fraction form
    1,831.50/2,527.61 = 1,133.01/x
  3. Step 3: Cross multiply
    1,831.50x = 2,527.61 × 1,133.01
  4. Step 4: Simplify right side
    1,831.50x = 2,863,801.74
  5. Step 5: Solve for x
    x = 2,863,801.74/1,831.50
  6. Step 6: Final answer
    x = 1,563.64

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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.