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Finding the Fourth Proportional to 1,663.76, 2,495.12 and 1,114.24

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Solution

The fourth proportional to 1,663.76, 2,495.12 and 1,114.24 is: 1,671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.76 : 2,495.12 = 1,114.24 : x
  2. Step 2: Convert to fraction form
    1,663.76/2,495.12 = 1,114.24/x
  3. Step 3: Cross multiply
    1,663.76x = 2,495.12 × 1,114.24
  4. Step 4: Simplify right side
    1,663.76x = 2,780,162.51
  5. Step 5: Solve for x
    x = 2,780,162.51/1,663.76
  6. Step 6: Final answer
    x = 1,671.01

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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.