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Finding the Fourth Proportional to 1,674.94, 2,509.70 and 1,023.70

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Solution

The fourth proportional to 1,674.94, 2,509.70 and 1,023.70 is: 1,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.94 : 2,509.70 = 1,023.70 : x
  2. Step 2: Convert to fraction form
    1,674.94/2,509.70 = 1,023.70/x
  3. Step 3: Cross multiply
    1,674.94x = 2,509.70 × 1,023.70
  4. Step 4: Simplify right side
    1,674.94x = 2,569,179.89
  5. Step 5: Solve for x
    x = 2,569,179.89/1,674.94
  6. Step 6: Final answer
    x = 1,533.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.