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Finding the Fourth Proportional to 1,557.63, 2,149.64 and 894.50

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Solution

The fourth proportional to 1,557.63, 2,149.64 and 894.50 is: 1,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.63 : 2,149.64 = 894.50 : x
  2. Step 2: Convert to fraction form
    1,557.63/2,149.64 = 894.50/x
  3. Step 3: Cross multiply
    1,557.63x = 2,149.64 × 894.50
  4. Step 4: Simplify right side
    1,557.63x = 1,922,849.17
  5. Step 5: Solve for x
    x = 1,922,849.17/1,557.63
  6. Step 6: Final answer
    x = 1,234.47

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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.