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Finding the Fourth Proportional to 2,145.08, 2,959.10 and 1,400.28

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Solution

The fourth proportional to 2,145.08, 2,959.10 and 1,400.28 is: 1,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.08 : 2,959.10 = 1,400.28 : x
  2. Step 2: Convert to fraction form
    2,145.08/2,959.10 = 1,400.28/x
  3. Step 3: Cross multiply
    2,145.08x = 2,959.10 × 1,400.28
  4. Step 4: Simplify right side
    2,145.08x = 4,143,568.55
  5. Step 5: Solve for x
    x = 4,143,568.55/2,145.08
  6. Step 6: Final answer
    x = 1,931.66

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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.