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Finding the Fourth Proportional to 1,457.92, 2,010.72 and 934.66

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Solution

The fourth proportional to 1,457.92, 2,010.72 and 934.66 is: 1,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.92 : 2,010.72 = 934.66 : x
  2. Step 2: Convert to fraction form
    1,457.92/2,010.72 = 934.66/x
  3. Step 3: Cross multiply
    1,457.92x = 2,010.72 × 934.66
  4. Step 4: Simplify right side
    1,457.92x = 1,879,339.56
  5. Step 5: Solve for x
    x = 1,879,339.56/1,457.92
  6. Step 6: Final answer
    x = 1,289.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.