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Finding the Fourth Proportional to 2,158.09, 2,977.80 and 1,274.07

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Solution

The fourth proportional to 2,158.09, 2,977.80 and 1,274.07 is: 1,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.09 : 2,977.80 = 1,274.07 : x
  2. Step 2: Convert to fraction form
    2,158.09/2,977.80 = 1,274.07/x
  3. Step 3: Cross multiply
    2,158.09x = 2,977.80 × 1,274.07
  4. Step 4: Simplify right side
    2,158.09x = 3,793,925.65
  5. Step 5: Solve for x
    x = 3,793,925.65/2,158.09
  6. Step 6: Final answer
    x = 1,758.00

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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.