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Finding the Fourth Proportional to 2,880.68, 4,328.70 and 1,565.24

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Solution

The fourth proportional to 2,880.68, 4,328.70 and 1,565.24 is: 2,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.68 : 4,328.70 = 1,565.24 : x
  2. Step 2: Convert to fraction form
    2,880.68/4,328.70 = 1,565.24/x
  3. Step 3: Cross multiply
    2,880.68x = 4,328.70 × 1,565.24
  4. Step 4: Simplify right side
    2,880.68x = 6,775,454.39
  5. Step 5: Solve for x
    x = 6,775,454.39/2,880.68
  6. Step 6: Final answer
    x = 2,352.03

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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.