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Finding the Fourth Proportional to 2,878.06, 4,315.02 and 1,416.10

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Solution

The fourth proportional to 2,878.06, 4,315.02 and 1,416.10 is: 2,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.06 : 4,315.02 = 1,416.10 : x
  2. Step 2: Convert to fraction form
    2,878.06/4,315.02 = 1,416.10/x
  3. Step 3: Cross multiply
    2,878.06x = 4,315.02 × 1,416.10
  4. Step 4: Simplify right side
    2,878.06x = 6,110,499.82
  5. Step 5: Solve for x
    x = 6,110,499.82/2,878.06
  6. Step 6: Final answer
    x = 2,123.13

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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.