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Finding the Fourth Proportional to 2,950.02, 4,070.84 and 1,771.74

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Solution

The fourth proportional to 2,950.02, 4,070.84 and 1,771.74 is: 2,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.02 : 4,070.84 = 1,771.74 : x
  2. Step 2: Convert to fraction form
    2,950.02/4,070.84 = 1,771.74/x
  3. Step 3: Cross multiply
    2,950.02x = 4,070.84 × 1,771.74
  4. Step 4: Simplify right side
    2,950.02x = 7,212,461.20
  5. Step 5: Solve for x
    x = 7,212,461.20/2,950.02
  6. Step 6: Final answer
    x = 2,444.89

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