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Finding the Fourth Proportional to 2,133.16, 3,194.88 and 1,484.40

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Solution

The fourth proportional to 2,133.16, 3,194.88 and 1,484.40 is: 2,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.16 : 3,194.88 = 1,484.40 : x
  2. Step 2: Convert to fraction form
    2,133.16/3,194.88 = 1,484.40/x
  3. Step 3: Cross multiply
    2,133.16x = 3,194.88 × 1,484.40
  4. Step 4: Simplify right side
    2,133.16x = 4,742,479.87
  5. Step 5: Solve for x
    x = 4,742,479.87/2,133.16
  6. Step 6: Final answer
    x = 2,223.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.