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Finding the Fourth Proportional to 3,114.52, 4,674.87 and 1,653.68

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Solution

The fourth proportional to 3,114.52, 4,674.87 and 1,653.68 is: 2,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.52 : 4,674.87 = 1,653.68 : x
  2. Step 2: Convert to fraction form
    3,114.52/4,674.87 = 1,653.68/x
  3. Step 3: Cross multiply
    3,114.52x = 4,674.87 × 1,653.68
  4. Step 4: Simplify right side
    3,114.52x = 7,730,750.71
  5. Step 5: Solve for x
    x = 7,730,750.71/3,114.52
  6. Step 6: Final answer
    x = 2,482.17

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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.