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Finding the Fourth Proportional to 2,950.40, 4,070.58 and 2,114.48

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Solution

The fourth proportional to 2,950.40, 4,070.58 and 2,114.48 is: 2,917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.40 : 4,070.58 = 2,114.48 : x
  2. Step 2: Convert to fraction form
    2,950.40/4,070.58 = 2,114.48/x
  3. Step 3: Cross multiply
    2,950.40x = 4,070.58 × 2,114.48
  4. Step 4: Simplify right side
    2,950.40x = 8,607,160.00
  5. Step 5: Solve for x
    x = 8,607,160.00/2,950.40
  6. Step 6: Final answer
    x = 2,917.29

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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.