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Finding the Fourth Proportional to 2,870.98, 4,305.57 and 1,829.50

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Solution

The fourth proportional to 2,870.98, 4,305.57 and 1,829.50 is: 2,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.98 : 4,305.57 = 1,829.50 : x
  2. Step 2: Convert to fraction form
    2,870.98/4,305.57 = 1,829.50/x
  3. Step 3: Cross multiply
    2,870.98x = 4,305.57 × 1,829.50
  4. Step 4: Simplify right side
    2,870.98x = 7,877,040.32
  5. Step 5: Solve for x
    x = 7,877,040.32/2,870.98
  6. Step 6: Final answer
    x = 2,743.68

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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.