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Finding the Fourth Proportional to 1,557.84, 2,336.64 and 734.88

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Solution

The fourth proportional to 1,557.84, 2,336.64 and 734.88 is: 1,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.84 : 2,336.64 = 734.88 : x
  2. Step 2: Convert to fraction form
    1,557.84/2,336.64 = 734.88/x
  3. Step 3: Cross multiply
    1,557.84x = 2,336.64 × 734.88
  4. Step 4: Simplify right side
    1,557.84x = 1,717,150.00
  5. Step 5: Solve for x
    x = 1,717,150.00/1,557.84
  6. Step 6: Final answer
    x = 1,102.26

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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.