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Finding the Fourth Proportional to 1,878.47, 2,815.88 and 783.15

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Solution

The fourth proportional to 1,878.47, 2,815.88 and 783.15 is: 1,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.47 : 2,815.88 = 783.15 : x
  2. Step 2: Convert to fraction form
    1,878.47/2,815.88 = 783.15/x
  3. Step 3: Cross multiply
    1,878.47x = 2,815.88 × 783.15
  4. Step 4: Simplify right side
    1,878.47x = 2,205,262.19
  5. Step 5: Solve for x
    x = 2,205,262.19/1,878.47
  6. Step 6: Final answer
    x = 1,173.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.