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Finding the Fourth Proportional to 2,703.79, 3,731.28 and 1,585.58

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Solution

The fourth proportional to 2,703.79, 3,731.28 and 1,585.58 is: 2,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.79 : 3,731.28 = 1,585.58 : x
  2. Step 2: Convert to fraction form
    2,703.79/3,731.28 = 1,585.58/x
  3. Step 3: Cross multiply
    2,703.79x = 3,731.28 × 1,585.58
  4. Step 4: Simplify right side
    2,703.79x = 5,916,242.94
  5. Step 5: Solve for x
    x = 5,916,242.94/2,703.79
  6. Step 6: Final answer
    x = 2,188.13

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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.