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Finding the Fourth Proportional to 3,411.59, 4,707.94 and 1,919.51

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Solution

The fourth proportional to 3,411.59, 4,707.94 and 1,919.51 is: 2,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.59 : 4,707.94 = 1,919.51 : x
  2. Step 2: Convert to fraction form
    3,411.59/4,707.94 = 1,919.51/x
  3. Step 3: Cross multiply
    3,411.59x = 4,707.94 × 1,919.51
  4. Step 4: Simplify right side
    3,411.59x = 9,036,938.02
  5. Step 5: Solve for x
    x = 9,036,938.02/3,411.59
  6. Step 6: Final answer
    x = 2,648.89

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1.5x scale

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.