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Finding the Fourth Proportional to 2,763.84, 3,812.10 and 1,878.06

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Solution

The fourth proportional to 2,763.84, 3,812.10 and 1,878.06 is: 2,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.84 : 3,812.10 = 1,878.06 : x
  2. Step 2: Convert to fraction form
    2,763.84/3,812.10 = 1,878.06/x
  3. Step 3: Cross multiply
    2,763.84x = 3,812.10 × 1,878.06
  4. Step 4: Simplify right side
    2,763.84x = 7,159,352.53
  5. Step 5: Solve for x
    x = 7,159,352.53/2,763.84
  6. Step 6: Final answer
    x = 2,590.36

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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.