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Finding the Fourth Proportional to 2,047.80, 2,824.98 and 1,487.40

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Solution

The fourth proportional to 2,047.80, 2,824.98 and 1,487.40 is: 2,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.80 : 2,824.98 = 1,487.40 : x
  2. Step 2: Convert to fraction form
    2,047.80/2,824.98 = 1,487.40/x
  3. Step 3: Cross multiply
    2,047.80x = 2,824.98 × 1,487.40
  4. Step 4: Simplify right side
    2,047.80x = 4,201,875.25
  5. Step 5: Solve for x
    x = 4,201,875.25/2,047.80
  6. Step 6: Final answer
    x = 2,051.90

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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.