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Finding the Fourth Proportional to 2,883.36, 4,325.68 and 1,152.16

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Solution

The fourth proportional to 2,883.36, 4,325.68 and 1,152.16 is: 1,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.36 : 4,325.68 = 1,152.16 : x
  2. Step 2: Convert to fraction form
    2,883.36/4,325.68 = 1,152.16/x
  3. Step 3: Cross multiply
    2,883.36x = 4,325.68 × 1,152.16
  4. Step 4: Simplify right side
    2,883.36x = 4,983,875.47
  5. Step 5: Solve for x
    x = 4,983,875.47/2,883.36
  6. Step 6: Final answer
    x = 1,728.50

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Why These Related Problems?

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