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Finding the Fourth Proportional to 2,602.83, 3,903.87 and 848.00

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Solution

The fourth proportional to 2,602.83, 3,903.87 and 848.00 is: 1,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.83 : 3,903.87 = 848.00 : x
  2. Step 2: Convert to fraction form
    2,602.83/3,903.87 = 848.00/x
  3. Step 3: Cross multiply
    2,602.83x = 3,903.87 × 848.00
  4. Step 4: Simplify right side
    2,602.83x = 3,310,462.24
  5. Step 5: Solve for x
    x = 3,310,462.24/2,602.83
  6. Step 6: Final answer
    x = 1,271.87

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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.