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Finding the Fourth Proportional to 2,088.12, 2,878.00 and 1,820.90

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Solution

The fourth proportional to 2,088.12, 2,878.00 and 1,820.90 is: 2,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.12 : 2,878.00 = 1,820.90 : x
  2. Step 2: Convert to fraction form
    2,088.12/2,878.00 = 1,820.90/x
  3. Step 3: Cross multiply
    2,088.12x = 2,878.00 × 1,820.90
  4. Step 4: Simplify right side
    2,088.12x = 5,240,531.26
  5. Step 5: Solve for x
    x = 5,240,531.26/2,088.12
  6. Step 6: Final answer
    x = 2,509.69

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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.