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Finding the Fourth Proportional to 3,051.18, 4,577.04 and 859.93

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Solution

The fourth proportional to 3,051.18, 4,577.04 and 859.93 is: 1,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.18 : 4,577.04 = 859.93 : x
  2. Step 2: Convert to fraction form
    3,051.18/4,577.04 = 859.93/x
  3. Step 3: Cross multiply
    3,051.18x = 4,577.04 × 859.93
  4. Step 4: Simplify right side
    3,051.18x = 3,935,934.01
  5. Step 5: Solve for x
    x = 3,935,934.01/3,051.18
  6. Step 6: Final answer
    x = 1,289.97

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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.