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Finding the Fourth Proportional to 1,937.95, 2,678.29 and 1,465.70

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Solution

The fourth proportional to 1,937.95, 2,678.29 and 1,465.70 is: 2,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.95 : 2,678.29 = 1,465.70 : x
  2. Step 2: Convert to fraction form
    1,937.95/2,678.29 = 1,465.70/x
  3. Step 3: Cross multiply
    1,937.95x = 2,678.29 × 1,465.70
  4. Step 4: Simplify right side
    1,937.95x = 3,925,556.72
  5. Step 5: Solve for x
    x = 3,925,556.72/1,937.95
  6. Step 6: Final answer
    x = 2,025.62

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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.