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Finding the Fourth Proportional to 2,151.02, 2,967.95 and 1,406.07

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Solution

The fourth proportional to 2,151.02, 2,967.95 and 1,406.07 is: 1,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.02 : 2,967.95 = 1,406.07 : x
  2. Step 2: Convert to fraction form
    2,151.02/2,967.95 = 1,406.07/x
  3. Step 3: Cross multiply
    2,151.02x = 2,967.95 × 1,406.07
  4. Step 4: Simplify right side
    2,151.02x = 4,173,145.46
  5. Step 5: Solve for x
    x = 4,173,145.46/2,151.02
  6. Step 6: Final answer
    x = 1,940.08

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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.