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Finding the Fourth Proportional to 2,784.34, 4,178.13 and 1,053.10

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Solution

The fourth proportional to 2,784.34, 4,178.13 and 1,053.10 is: 1,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.34 : 4,178.13 = 1,053.10 : x
  2. Step 2: Convert to fraction form
    2,784.34/4,178.13 = 1,053.10/x
  3. Step 3: Cross multiply
    2,784.34x = 4,178.13 × 1,053.10
  4. Step 4: Simplify right side
    2,784.34x = 4,399,988.70
  5. Step 5: Solve for x
    x = 4,399,988.70/2,784.34
  6. Step 6: Final answer
    x = 1,580.26

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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.