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Finding the Fourth Proportional to 1,904.84, 2,856.47 and 671.69

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Solution

The fourth proportional to 1,904.84, 2,856.47 and 671.69 is: 1,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.84 : 2,856.47 = 671.69 : x
  2. Step 2: Convert to fraction form
    1,904.84/2,856.47 = 671.69/x
  3. Step 3: Cross multiply
    1,904.84x = 2,856.47 × 671.69
  4. Step 4: Simplify right side
    1,904.84x = 1,918,666.12
  5. Step 5: Solve for x
    x = 1,918,666.12/1,904.84
  6. Step 6: Final answer
    x = 1,007.26

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1.5x scale

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.