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Finding the Fourth Proportional to 2,265.80, 3,124.10 and 2,056.01

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Solution

The fourth proportional to 2,265.80, 3,124.10 and 2,056.01 is: 2,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.80 : 3,124.10 = 2,056.01 : x
  2. Step 2: Convert to fraction form
    2,265.80/3,124.10 = 2,056.01/x
  3. Step 3: Cross multiply
    2,265.80x = 3,124.10 × 2,056.01
  4. Step 4: Simplify right side
    2,265.80x = 6,423,170.36
  5. Step 5: Solve for x
    x = 6,423,170.36/2,265.80
  6. Step 6: Final answer
    x = 2,834.84

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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.