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Finding the Fourth Proportional to 1,886.45, 2,827.85 and 652.94

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Solution

The fourth proportional to 1,886.45, 2,827.85 and 652.94 is: 978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.45 : 2,827.85 = 652.94 : x
  2. Step 2: Convert to fraction form
    1,886.45/2,827.85 = 652.94/x
  3. Step 3: Cross multiply
    1,886.45x = 2,827.85 × 652.94
  4. Step 4: Simplify right side
    1,886.45x = 1,846,402.24
  5. Step 5: Solve for x
    x = 1,846,402.24/1,886.45
  6. Step 6: Final answer
    x = 978.77

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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.