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Finding the Fourth Proportional to 1,537.60, 2,307.84 and 807.70

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Solution

The fourth proportional to 1,537.60, 2,307.84 and 807.70 is: 1,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.60 : 2,307.84 = 807.70 : x
  2. Step 2: Convert to fraction form
    1,537.60/2,307.84 = 807.70/x
  3. Step 3: Cross multiply
    1,537.60x = 2,307.84 × 807.70
  4. Step 4: Simplify right side
    1,537.60x = 1,864,042.37
  5. Step 5: Solve for x
    x = 1,864,042.37/1,537.60
  6. Step 6: Final answer
    x = 1,212.31

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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.