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Finding the Fourth Proportional to 2,718.90, 4,071.06 and 1,417.64

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Solution

The fourth proportional to 2,718.90, 4,071.06 and 1,417.64 is: 2,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.90 : 4,071.06 = 1,417.64 : x
  2. Step 2: Convert to fraction form
    2,718.90/4,071.06 = 1,417.64/x
  3. Step 3: Cross multiply
    2,718.90x = 4,071.06 × 1,417.64
  4. Step 4: Simplify right side
    2,718.90x = 5,771,277.14
  5. Step 5: Solve for x
    x = 5,771,277.14/2,718.90
  6. Step 6: Final answer
    x = 2,122.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.