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Finding the Fourth Proportional to 3,051.62, 4,575.35 and 971.00

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Solution

The fourth proportional to 3,051.62, 4,575.35 and 971.00 is: 1,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.62 : 4,575.35 = 971.00 : x
  2. Step 2: Convert to fraction form
    3,051.62/4,575.35 = 971.00/x
  3. Step 3: Cross multiply
    3,051.62x = 4,575.35 × 971.00
  4. Step 4: Simplify right side
    3,051.62x = 4,442,641.97
  5. Step 5: Solve for x
    x = 4,442,641.97/3,051.62
  6. Step 6: Final answer
    x = 1,455.83

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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.