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Finding the Fourth Proportional to 2,952.67, 4,070.60 and 2,111.90

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Solution

The fourth proportional to 2,952.67, 4,070.60 and 2,111.90 is: 2,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.67 : 4,070.60 = 2,111.90 : x
  2. Step 2: Convert to fraction form
    2,952.67/4,070.60 = 2,111.90/x
  3. Step 3: Cross multiply
    2,952.67x = 4,070.60 × 2,111.90
  4. Step 4: Simplify right side
    2,952.67x = 8,596,699.76
  5. Step 5: Solve for x
    x = 8,596,699.76/2,952.67
  6. Step 6: Final answer
    x = 2,911.50

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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.