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Finding the Fourth Proportional to 1,460.16, 2,012.76 and 1,224

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Solution

The fourth proportional to 1,460.16, 2,012.76 and 1,224 is: 1,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.16 : 2,012.76 = 1,224 : x
  2. Step 2: Convert to fraction form
    1,460.16/2,012.76 = 1,224/x
  3. Step 3: Cross multiply
    1,460.16x = 2,012.76 × 1,224
  4. Step 4: Simplify right side
    1,460.16x = 2,463,618.24
  5. Step 5: Solve for x
    x = 2,463,618.24/1,460.16
  6. Step 6: Final answer
    x = 1,687.22

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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.