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Finding the Fourth Proportional to 2,802.46, 4,203.28 and 953.64

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Solution

The fourth proportional to 2,802.46, 4,203.28 and 953.64 is: 1,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.46 : 4,203.28 = 953.64 : x
  2. Step 2: Convert to fraction form
    2,802.46/4,203.28 = 953.64/x
  3. Step 3: Cross multiply
    2,802.46x = 4,203.28 × 953.64
  4. Step 4: Simplify right side
    2,802.46x = 4,008,415.94
  5. Step 5: Solve for x
    x = 4,008,415.94/2,802.46
  6. Step 6: Final answer
    x = 1,430.32

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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.