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Finding the Fourth Proportional to 2,875.88, 4,314.83 and 1,416.05

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Solution

The fourth proportional to 2,875.88, 4,314.83 and 1,416.05 is: 2,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.88 : 4,314.83 = 1,416.05 : x
  2. Step 2: Convert to fraction form
    2,875.88/4,314.83 = 1,416.05/x
  3. Step 3: Cross multiply
    2,875.88x = 4,314.83 × 1,416.05
  4. Step 4: Simplify right side
    2,875.88x = 6,110,018.73
  5. Step 5: Solve for x
    x = 6,110,018.73/2,875.88
  6. Step 6: Final answer
    x = 2,124.58

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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.