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Finding the Fourth Proportional to 2,927.60, 4,392.44 and 1,830.68

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Solution

The fourth proportional to 2,927.60, 4,392.44 and 1,830.68 is: 2,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.60 : 4,392.44 = 1,830.68 : x
  2. Step 2: Convert to fraction form
    2,927.60/4,392.44 = 1,830.68/x
  3. Step 3: Cross multiply
    2,927.60x = 4,392.44 × 1,830.68
  4. Step 4: Simplify right side
    2,927.60x = 8,041,152.06
  5. Step 5: Solve for x
    x = 8,041,152.06/2,927.60
  6. Step 6: Final answer
    x = 2,746.67

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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.