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Finding the Fourth Proportional to 3,051.30, 4,577.49 and 970.77

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Solution

The fourth proportional to 3,051.30, 4,577.49 and 970.77 is: 1,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.30 : 4,577.49 = 970.77 : x
  2. Step 2: Convert to fraction form
    3,051.30/4,577.49 = 970.77/x
  3. Step 3: Cross multiply
    3,051.30x = 4,577.49 × 970.77
  4. Step 4: Simplify right side
    3,051.30x = 4,443,689.97
  5. Step 5: Solve for x
    x = 4,443,689.97/3,051.30
  6. Step 6: Final answer
    x = 1,456.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.