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Finding the Fourth Proportional to 1,878.12, 2,803.40 and 1,656.43

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Solution

The fourth proportional to 1,878.12, 2,803.40 and 1,656.43 is: 2,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.12 : 2,803.40 = 1,656.43 : x
  2. Step 2: Convert to fraction form
    1,878.12/2,803.40 = 1,656.43/x
  3. Step 3: Cross multiply
    1,878.12x = 2,803.40 × 1,656.43
  4. Step 4: Simplify right side
    1,878.12x = 4,643,647.21
  5. Step 5: Solve for x
    x = 4,643,647.21/1,878.12
  6. Step 6: Final answer
    x = 2,472.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.