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Finding the Fourth Proportional to 2,953.60, 4,430.40 and 2,809.60

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Solution

The fourth proportional to 2,953.60, 4,430.40 and 2,809.60 is: 4,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.60 : 4,430.40 = 2,809.60 : x
  2. Step 2: Convert to fraction form
    2,953.60/4,430.40 = 2,809.60/x
  3. Step 3: Cross multiply
    2,953.60x = 4,430.40 × 2,809.60
  4. Step 4: Simplify right side
    2,953.60x = 12,447,651.84
  5. Step 5: Solve for x
    x = 12,447,651.84/2,953.60
  6. Step 6: Final answer
    x = 4,214.40

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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.