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Finding the Fourth Proportional to 2,702.90, 4,054.36 and 1,547.84

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Solution

The fourth proportional to 2,702.90, 4,054.36 and 1,547.84 is: 2,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.90 : 4,054.36 = 1,547.84 : x
  2. Step 2: Convert to fraction form
    2,702.90/4,054.36 = 1,547.84/x
  3. Step 3: Cross multiply
    2,702.90x = 4,054.36 × 1,547.84
  4. Step 4: Simplify right side
    2,702.90x = 6,275,500.58
  5. Step 5: Solve for x
    x = 6,275,500.58/2,702.90
  6. Step 6: Final answer
    x = 2,321.77

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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.