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Finding the Fourth Proportional to 1,390.54, 1,919.02 and 831.10

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Solution

The fourth proportional to 1,390.54, 1,919.02 and 831.10 is: 1,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.54 : 1,919.02 = 831.10 : x
  2. Step 2: Convert to fraction form
    1,390.54/1,919.02 = 831.10/x
  3. Step 3: Cross multiply
    1,390.54x = 1,919.02 × 831.10
  4. Step 4: Simplify right side
    1,390.54x = 1,594,897.52
  5. Step 5: Solve for x
    x = 1,594,897.52/1,390.54
  6. Step 6: Final answer
    x = 1,146.96

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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.