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Finding the Fourth Proportional to 1,457.81, 2,186.34 and 417.81

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Solution

The fourth proportional to 1,457.81, 2,186.34 and 417.81 is: 626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.81 : 2,186.34 = 417.81 : x
  2. Step 2: Convert to fraction form
    1,457.81/2,186.34 = 417.81/x
  3. Step 3: Cross multiply
    1,457.81x = 2,186.34 × 417.81
  4. Step 4: Simplify right side
    1,457.81x = 913,472.63
  5. Step 5: Solve for x
    x = 913,472.63/1,457.81
  6. Step 6: Final answer
    x = 626.61

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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.