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Finding the Fourth Proportional to 3,218.91, 4,829.00 and 1,370.00

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Solution

The fourth proportional to 3,218.91, 4,829.00 and 1,370.00 is: 2,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.91 : 4,829.00 = 1,370.00 : x
  2. Step 2: Convert to fraction form
    3,218.91/4,829.00 = 1,370.00/x
  3. Step 3: Cross multiply
    3,218.91x = 4,829.00 × 1,370.00
  4. Step 4: Simplify right side
    3,218.91x = 6,615,699.01
  5. Step 5: Solve for x
    x = 6,615,699.01/3,218.91
  6. Step 6: Final answer
    x = 2,055.26

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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.