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Finding the Fourth Proportional to 2,138.60, 2,950.32 and 1,510.04

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Solution

The fourth proportional to 2,138.60, 2,950.32 and 1,510.04 is: 2,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.60 : 2,950.32 = 1,510.04 : x
  2. Step 2: Convert to fraction form
    2,138.60/2,950.32 = 1,510.04/x
  3. Step 3: Cross multiply
    2,138.60x = 2,950.32 × 1,510.04
  4. Step 4: Simplify right side
    2,138.60x = 4,455,101.21
  5. Step 5: Solve for x
    x = 4,455,101.21/2,138.60
  6. Step 6: Final answer
    x = 2,083.19

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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.