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Finding the Fourth Proportional to 2,803.02, 4,204.14 and 953.87

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Solution

The fourth proportional to 2,803.02, 4,204.14 and 953.87 is: 1,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.02 : 4,204.14 = 953.87 : x
  2. Step 2: Convert to fraction form
    2,803.02/4,204.14 = 953.87/x
  3. Step 3: Cross multiply
    2,803.02x = 4,204.14 × 953.87
  4. Step 4: Simplify right side
    2,803.02x = 4,010,182.00
  5. Step 5: Solve for x
    x = 4,010,182.00/2,803.02
  6. Step 6: Final answer
    x = 1,430.66

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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.