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Finding the Fourth Proportional to 1,386.10, 1,903.46 and 1,164.67

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Solution

The fourth proportional to 1,386.10, 1,903.46 and 1,164.67 is: 1,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.10 : 1,903.46 = 1,164.67 : x
  2. Step 2: Convert to fraction form
    1,386.10/1,903.46 = 1,164.67/x
  3. Step 3: Cross multiply
    1,386.10x = 1,903.46 × 1,164.67
  4. Step 4: Simplify right side
    1,386.10x = 2,216,902.76
  5. Step 5: Solve for x
    x = 2,216,902.76/1,386.10
  6. Step 6: Final answer
    x = 1,599.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.