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Finding the Fourth Proportional to 1,870.80, 2,806.25 and 700.82

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Solution

The fourth proportional to 1,870.80, 2,806.25 and 700.82 is: 1,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.80 : 2,806.25 = 700.82 : x
  2. Step 2: Convert to fraction form
    1,870.80/2,806.25 = 700.82/x
  3. Step 3: Cross multiply
    1,870.80x = 2,806.25 × 700.82
  4. Step 4: Simplify right side
    1,870.80x = 1,966,669.11
  5. Step 5: Solve for x
    x = 1,966,669.11/1,870.80
  6. Step 6: Final answer
    x = 1,051.25

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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.