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Finding the Fourth Proportional to 1,386.40, 1,906.32 and 1,328.80

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Solution

The fourth proportional to 1,386.40, 1,906.32 and 1,328.80 is: 1,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.40 : 1,906.32 = 1,328.80 : x
  2. Step 2: Convert to fraction form
    1,386.40/1,906.32 = 1,328.80/x
  3. Step 3: Cross multiply
    1,386.40x = 1,906.32 × 1,328.80
  4. Step 4: Simplify right side
    1,386.40x = 2,533,118.02
  5. Step 5: Solve for x
    x = 2,533,118.02/1,386.40
  6. Step 6: Final answer
    x = 1,827.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.