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Finding the Fourth Proportional to 1,506.66, 2,258.37 and 1,018.50

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Solution

The fourth proportional to 1,506.66, 2,258.37 and 1,018.50 is: 1,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.66 : 2,258.37 = 1,018.50 : x
  2. Step 2: Convert to fraction form
    1,506.66/2,258.37 = 1,018.50/x
  3. Step 3: Cross multiply
    1,506.66x = 2,258.37 × 1,018.50
  4. Step 4: Simplify right side
    1,506.66x = 2,300,149.85
  5. Step 5: Solve for x
    x = 2,300,149.85/1,506.66
  6. Step 6: Final answer
    x = 1,526.65

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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.