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Finding the Fourth Proportional to 1,886.30, 2,829.12 and 653.76

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Solution

The fourth proportional to 1,886.30, 2,829.12 and 653.76 is: 980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.30 : 2,829.12 = 653.76 : x
  2. Step 2: Convert to fraction form
    1,886.30/2,829.12 = 653.76/x
  3. Step 3: Cross multiply
    1,886.30x = 2,829.12 × 653.76
  4. Step 4: Simplify right side
    1,886.30x = 1,849,565.49
  5. Step 5: Solve for x
    x = 1,849,565.49/1,886.30
  6. Step 6: Final answer
    x = 980.53

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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.