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Finding the Fourth Proportional to 2,870.16, 4,303.56 and 921.84

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Solution

The fourth proportional to 2,870.16, 4,303.56 and 921.84 is: 1,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.16 : 4,303.56 = 921.84 : x
  2. Step 2: Convert to fraction form
    2,870.16/4,303.56 = 921.84/x
  3. Step 3: Cross multiply
    2,870.16x = 4,303.56 × 921.84
  4. Step 4: Simplify right side
    2,870.16x = 3,967,193.75
  5. Step 5: Solve for x
    x = 3,967,193.75/2,870.16
  6. Step 6: Final answer
    x = 1,382.22

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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.