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Finding the Fourth Proportional to 2,237.60, 3,352.80 and 1,870.40

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Solution

The fourth proportional to 2,237.60, 3,352.80 and 1,870.40 is: 2,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.60 : 3,352.80 = 1,870.40 : x
  2. Step 2: Convert to fraction form
    2,237.60/3,352.80 = 1,870.40/x
  3. Step 3: Cross multiply
    2,237.60x = 3,352.80 × 1,870.40
  4. Step 4: Simplify right side
    2,237.60x = 6,271,077.12
  5. Step 5: Solve for x
    x = 6,271,077.12/2,237.60
  6. Step 6: Final answer
    x = 2,802.59

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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.