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Finding the Fourth Proportional to 2,702.04, 3,730.50 and 1,771.08

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Solution

The fourth proportional to 2,702.04, 3,730.50 and 1,771.08 is: 2,445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.04 : 3,730.50 = 1,771.08 : x
  2. Step 2: Convert to fraction form
    2,702.04/3,730.50 = 1,771.08/x
  3. Step 3: Cross multiply
    2,702.04x = 3,730.50 × 1,771.08
  4. Step 4: Simplify right side
    2,702.04x = 6,607,013.94
  5. Step 5: Solve for x
    x = 6,607,013.94/2,702.04
  6. Step 6: Final answer
    x = 2,445.19

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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.