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Finding the Fourth Proportional to 2,709.84, 4,066.04 and 1,878.18

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Solution

The fourth proportional to 2,709.84, 4,066.04 and 1,878.18 is: 2,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.84 : 4,066.04 = 1,878.18 : x
  2. Step 2: Convert to fraction form
    2,709.84/4,066.04 = 1,878.18/x
  3. Step 3: Cross multiply
    2,709.84x = 4,066.04 × 1,878.18
  4. Step 4: Simplify right side
    2,709.84x = 7,636,750.61
  5. Step 5: Solve for x
    x = 7,636,750.61/2,709.84
  6. Step 6: Final answer
    x = 2,818.16

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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.