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Finding the Fourth Proportional to 2,137.50, 2,947.08 and 1,783.93

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Solution

The fourth proportional to 2,137.50, 2,947.08 and 1,783.93 is: 2,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.50 : 2,947.08 = 1,783.93 : x
  2. Step 2: Convert to fraction form
    2,137.50/2,947.08 = 1,783.93/x
  3. Step 3: Cross multiply
    2,137.50x = 2,947.08 × 1,783.93
  4. Step 4: Simplify right side
    2,137.50x = 5,257,384.42
  5. Step 5: Solve for x
    x = 5,257,384.42/2,137.50
  6. Step 6: Final answer
    x = 2,459.60

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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.