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Finding the Fourth Proportional to 2,875.50, 3,966.57 and 1,880.55

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Solution

The fourth proportional to 2,875.50, 3,966.57 and 1,880.55 is: 2,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.50 : 3,966.57 = 1,880.55 : x
  2. Step 2: Convert to fraction form
    2,875.50/3,966.57 = 1,880.55/x
  3. Step 3: Cross multiply
    2,875.50x = 3,966.57 × 1,880.55
  4. Step 4: Simplify right side
    2,875.50x = 7,459,333.21
  5. Step 5: Solve for x
    x = 7,459,333.21/2,875.50
  6. Step 6: Final answer
    x = 2,594.10

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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.