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Finding the Fourth Proportional to 1,878.04, 2,812.74 and 1,564.30

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Solution

The fourth proportional to 1,878.04, 2,812.74 and 1,564.30 is: 2,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.04 : 2,812.74 = 1,564.30 : x
  2. Step 2: Convert to fraction form
    1,878.04/2,812.74 = 1,564.30/x
  3. Step 3: Cross multiply
    1,878.04x = 2,812.74 × 1,564.30
  4. Step 4: Simplify right side
    1,878.04x = 4,399,969.18
  5. Step 5: Solve for x
    x = 4,399,969.18/1,878.04
  6. Step 6: Final answer
    x = 2,342.85

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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.