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Finding the Fourth Proportional to 2,803.10, 4,204.17 and 1,048.93

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Solution

The fourth proportional to 2,803.10, 4,204.17 and 1,048.93 is: 1,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.10 : 4,204.17 = 1,048.93 : x
  2. Step 2: Convert to fraction form
    2,803.10/4,204.17 = 1,048.93/x
  3. Step 3: Cross multiply
    2,803.10x = 4,204.17 × 1,048.93
  4. Step 4: Simplify right side
    2,803.10x = 4,409,880.04
  5. Step 5: Solve for x
    x = 4,409,880.04/2,803.10
  6. Step 6: Final answer
    x = 1,573.22

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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.