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Finding the Fourth Proportional to 1,237, 1,851.90 and 866.35

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Solution

The fourth proportional to 1,237, 1,851.90 and 866.35 is: 1,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237 : 1,851.90 = 866.35 : x
  2. Step 2: Convert to fraction form
    1,237/1,851.90 = 866.35/x
  3. Step 3: Cross multiply
    1,237x = 1,851.90 × 866.35
  4. Step 4: Simplify right side
    1,237x = 1,604,393.57
  5. Step 5: Solve for x
    x = 1,604,393.57/1,237
  6. Step 6: Final answer
    x = 1,297.00

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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.