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Finding the Fourth Proportional to 1,237.84, 1,857.10 and 1,006.15

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Solution

The fourth proportional to 1,237.84, 1,857.10 and 1,006.15 is: 1,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.84 : 1,857.10 = 1,006.15 : x
  2. Step 2: Convert to fraction form
    1,237.84/1,857.10 = 1,006.15/x
  3. Step 3: Cross multiply
    1,237.84x = 1,857.10 × 1,006.15
  4. Step 4: Simplify right side
    1,237.84x = 1,868,516.13
  5. Step 5: Solve for x
    x = 1,868,516.13/1,237.84
  6. Step 6: Final answer
    x = 1,509.50

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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.