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Finding the Fourth Proportional to 1,875.96, 2,814.42 and 780.84

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Solution

The fourth proportional to 1,875.96, 2,814.42 and 780.84 is: 1,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.96 : 2,814.42 = 780.84 : x
  2. Step 2: Convert to fraction form
    1,875.96/2,814.42 = 780.84/x
  3. Step 3: Cross multiply
    1,875.96x = 2,814.42 × 780.84
  4. Step 4: Simplify right side
    1,875.96x = 2,197,611.71
  5. Step 5: Solve for x
    x = 2,197,611.71/1,875.96
  6. Step 6: Final answer
    x = 1,171.46

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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.