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Finding the Fourth Proportional to 1,929.48, 2,878.58 and 1,770.90

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Solution

The fourth proportional to 1,929.48, 2,878.58 and 1,770.90 is: 2,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.48 : 2,878.58 = 1,770.90 : x
  2. Step 2: Convert to fraction form
    1,929.48/2,878.58 = 1,770.90/x
  3. Step 3: Cross multiply
    1,929.48x = 2,878.58 × 1,770.90
  4. Step 4: Simplify right side
    1,929.48x = 5,097,668.47
  5. Step 5: Solve for x
    x = 5,097,668.47/1,929.48
  6. Step 6: Final answer
    x = 2,641.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.