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Finding the Fourth Proportional to 1,870.09, 2,805.44 and 830.45

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Solution

The fourth proportional to 1,870.09, 2,805.44 and 830.45 is: 1,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.09 : 2,805.44 = 830.45 : x
  2. Step 2: Convert to fraction form
    1,870.09/2,805.44 = 830.45/x
  3. Step 3: Cross multiply
    1,870.09x = 2,805.44 × 830.45
  4. Step 4: Simplify right side
    1,870.09x = 2,329,780.51
  5. Step 5: Solve for x
    x = 2,329,780.51/1,870.09
  6. Step 6: Final answer
    x = 1,245.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.