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Finding the Fourth Proportional to 1,897.32, 2,831.28 and 1,678.62

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Solution

The fourth proportional to 1,897.32, 2,831.28 and 1,678.62 is: 2,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.32 : 2,831.28 = 1,678.62 : x
  2. Step 2: Convert to fraction form
    1,897.32/2,831.28 = 1,678.62/x
  3. Step 3: Cross multiply
    1,897.32x = 2,831.28 × 1,678.62
  4. Step 4: Simplify right side
    1,897.32x = 4,752,643.23
  5. Step 5: Solve for x
    x = 4,752,643.23/1,897.32
  6. Step 6: Final answer
    x = 2,504.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.