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Finding the Fourth Proportional to 1,870.95, 2,804.45 and 700.18

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Solution

The fourth proportional to 1,870.95, 2,804.45 and 700.18 is: 1,049.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.95 : 2,804.45 = 700.18 : x
  2. Step 2: Convert to fraction form
    1,870.95/2,804.45 = 700.18/x
  3. Step 3: Cross multiply
    1,870.95x = 2,804.45 × 700.18
  4. Step 4: Simplify right side
    1,870.95x = 1,963,623.09
  5. Step 5: Solve for x
    x = 1,963,623.09/1,870.95
  6. Step 6: Final answer
    x = 1,049.53

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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.