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Finding the Fourth Proportional to 1,457.71, 2,011.17 and 933.64

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Solution

The fourth proportional to 1,457.71, 2,011.17 and 933.64 is: 1,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.71 : 2,011.17 = 933.64 : x
  2. Step 2: Convert to fraction form
    1,457.71/2,011.17 = 933.64/x
  3. Step 3: Cross multiply
    1,457.71x = 2,011.17 × 933.64
  4. Step 4: Simplify right side
    1,457.71x = 1,877,708.76
  5. Step 5: Solve for x
    x = 1,877,708.76/1,457.71
  6. Step 6: Final answer
    x = 1,288.12

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Why These Related Problems?

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