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Finding the Fourth Proportional to 2,697.30, 3,718.58 and 1,702.08

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Solution

The fourth proportional to 2,697.30, 3,718.58 and 1,702.08 is: 2,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.30 : 3,718.58 = 1,702.08 : x
  2. Step 2: Convert to fraction form
    2,697.30/3,718.58 = 1,702.08/x
  3. Step 3: Cross multiply
    2,697.30x = 3,718.58 × 1,702.08
  4. Step 4: Simplify right side
    2,697.30x = 6,329,312.14
  5. Step 5: Solve for x
    x = 6,329,312.14/2,697.30
  6. Step 6: Final answer
    x = 2,346.54

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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.