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Finding the Fourth Proportional to 3,064.17, 4,230 and 1,804.83

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Solution

The fourth proportional to 3,064.17, 4,230 and 1,804.83 is: 2,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.17 : 4,230 = 1,804.83 : x
  2. Step 2: Convert to fraction form
    3,064.17/4,230 = 1,804.83/x
  3. Step 3: Cross multiply
    3,064.17x = 4,230 × 1,804.83
  4. Step 4: Simplify right side
    3,064.17x = 7,634,430.90
  5. Step 5: Solve for x
    x = 7,634,430.90/3,064.17
  6. Step 6: Final answer
    x = 2,491.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.