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Finding the Fourth Proportional to 1,492.92, 2,256.30 and 1,476.51

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Solution

The fourth proportional to 1,492.92, 2,256.30 and 1,476.51 is: 2,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.92 : 2,256.30 = 1,476.51 : x
  2. Step 2: Convert to fraction form
    1,492.92/2,256.30 = 1,476.51/x
  3. Step 3: Cross multiply
    1,492.92x = 2,256.30 × 1,476.51
  4. Step 4: Simplify right side
    1,492.92x = 3,331,449.51
  5. Step 5: Solve for x
    x = 3,331,449.51/1,492.92
  6. Step 6: Final answer
    x = 2,231.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.