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Finding the Fourth Proportional to 3,000.56, 4,497.06 and 1,702.76

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Solution

The fourth proportional to 3,000.56, 4,497.06 and 1,702.76 is: 2,551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.56 : 4,497.06 = 1,702.76 : x
  2. Step 2: Convert to fraction form
    3,000.56/4,497.06 = 1,702.76/x
  3. Step 3: Cross multiply
    3,000.56x = 4,497.06 × 1,702.76
  4. Step 4: Simplify right side
    3,000.56x = 7,657,413.89
  5. Step 5: Solve for x
    x = 7,657,413.89/3,000.56
  6. Step 6: Final answer
    x = 2,551.99

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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.