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Finding the Fourth Proportional to 2,810.04, 3,878.82 and 1,762.17

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Solution

The fourth proportional to 2,810.04, 3,878.82 and 1,762.17 is: 2,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.04 : 3,878.82 = 1,762.17 : x
  2. Step 2: Convert to fraction form
    2,810.04/3,878.82 = 1,762.17/x
  3. Step 3: Cross multiply
    2,810.04x = 3,878.82 × 1,762.17
  4. Step 4: Simplify right side
    2,810.04x = 6,835,140.24
  5. Step 5: Solve for x
    x = 6,835,140.24/2,810.04
  6. Step 6: Final answer
    x = 2,432.40

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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.