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Finding the Fourth Proportional to 1,385.76, 1,913.64 and 1,035.84

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Solution

The fourth proportional to 1,385.76, 1,913.64 and 1,035.84 is: 1,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.76 : 1,913.64 = 1,035.84 : x
  2. Step 2: Convert to fraction form
    1,385.76/1,913.64 = 1,035.84/x
  3. Step 3: Cross multiply
    1,385.76x = 1,913.64 × 1,035.84
  4. Step 4: Simplify right side
    1,385.76x = 1,982,224.86
  5. Step 5: Solve for x
    x = 1,982,224.86/1,385.76
  6. Step 6: Final answer
    x = 1,430.42

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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.