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Finding the Fourth Proportional to 2,878.64, 4,316.58 and 1,560.30

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Solution

The fourth proportional to 2,878.64, 4,316.58 and 1,560.30 is: 2,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.64 : 4,316.58 = 1,560.30 : x
  2. Step 2: Convert to fraction form
    2,878.64/4,316.58 = 1,560.30/x
  3. Step 3: Cross multiply
    2,878.64x = 4,316.58 × 1,560.30
  4. Step 4: Simplify right side
    2,878.64x = 6,735,159.77
  5. Step 5: Solve for x
    x = 6,735,159.77/2,878.64
  6. Step 6: Final answer
    x = 2,339.71

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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.