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Finding the Fourth Proportional to 2,477.25, 3,702.17 and 1,988.01

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Solution

The fourth proportional to 2,477.25, 3,702.17 and 1,988.01 is: 2,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.25 : 3,702.17 = 1,988.01 : x
  2. Step 2: Convert to fraction form
    2,477.25/3,702.17 = 1,988.01/x
  3. Step 3: Cross multiply
    2,477.25x = 3,702.17 × 1,988.01
  4. Step 4: Simplify right side
    2,477.25x = 7,359,955.95
  5. Step 5: Solve for x
    x = 7,359,955.95/2,477.25
  6. Step 6: Final answer
    x = 2,971.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.