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Finding the Fourth Proportional to 1,378.52, 1,903.05 and 1,130.39

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Solution

The fourth proportional to 1,378.52, 1,903.05 and 1,130.39 is: 1,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.52 : 1,903.05 = 1,130.39 : x
  2. Step 2: Convert to fraction form
    1,378.52/1,903.05 = 1,130.39/x
  3. Step 3: Cross multiply
    1,378.52x = 1,903.05 × 1,130.39
  4. Step 4: Simplify right side
    1,378.52x = 2,151,179.17
  5. Step 5: Solve for x
    x = 2,151,179.17/1,378.52
  6. Step 6: Final answer
    x = 1,560.50

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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.