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Finding the Fourth Proportional to 1,460.76, 2,187.30 and 808.20

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Solution

The fourth proportional to 1,460.76, 2,187.30 and 808.20 is: 1,210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.76 : 2,187.30 = 808.20 : x
  2. Step 2: Convert to fraction form
    1,460.76/2,187.30 = 808.20/x
  3. Step 3: Cross multiply
    1,460.76x = 2,187.30 × 808.20
  4. Step 4: Simplify right side
    1,460.76x = 1,767,775.86
  5. Step 5: Solve for x
    x = 1,767,775.86/1,460.76
  6. Step 6: Final answer
    x = 1,210.18

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