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Finding the Fourth Proportional to 1,289.21, 1,924.02 and 1,256.40

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Solution

The fourth proportional to 1,289.21, 1,924.02 and 1,256.40 is: 1,875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.21 : 1,924.02 = 1,256.40 : x
  2. Step 2: Convert to fraction form
    1,289.21/1,924.02 = 1,256.40/x
  3. Step 3: Cross multiply
    1,289.21x = 1,924.02 × 1,256.40
  4. Step 4: Simplify right side
    1,289.21x = 2,417,338.73
  5. Step 5: Solve for x
    x = 2,417,338.73/1,289.21
  6. Step 6: Final answer
    x = 1,875.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.