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Finding the Fourth Proportional to 2,378.88, 3,565.04 and 2,014.40

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Solution

The fourth proportional to 2,378.88, 3,565.04 and 2,014.40 is: 3,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.88 : 3,565.04 = 2,014.40 : x
  2. Step 2: Convert to fraction form
    2,378.88/3,565.04 = 2,014.40/x
  3. Step 3: Cross multiply
    2,378.88x = 3,565.04 × 2,014.40
  4. Step 4: Simplify right side
    2,378.88x = 7,181,416.58
  5. Step 5: Solve for x
    x = 7,181,416.58/2,378.88
  6. Step 6: Final answer
    x = 3,018.82

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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.