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Finding the Fourth Proportional to 2,870.40, 4,303.04 and 1,137.84

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Solution

The fourth proportional to 2,870.40, 4,303.04 and 1,137.84 is: 1,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.40 : 4,303.04 = 1,137.84 : x
  2. Step 2: Convert to fraction form
    2,870.40/4,303.04 = 1,137.84/x
  3. Step 3: Cross multiply
    2,870.40x = 4,303.04 × 1,137.84
  4. Step 4: Simplify right side
    2,870.40x = 4,896,171.03
  5. Step 5: Solve for x
    x = 4,896,171.03/2,870.40
  6. Step 6: Final answer
    x = 1,705.75

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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.