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Finding the Fourth Proportional to 4,698.40, 7,047.66 and 1,924.48

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Solution

The fourth proportional to 4,698.40, 7,047.66 and 1,924.48 is: 2,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.40 : 7,047.66 = 1,924.48 : x
  2. Step 2: Convert to fraction form
    4,698.40/7,047.66 = 1,924.48/x
  3. Step 3: Cross multiply
    4,698.40x = 7,047.66 × 1,924.48
  4. Step 4: Simplify right side
    4,698.40x = 13,563,080.72
  5. Step 5: Solve for x
    x = 13,563,080.72/4,698.40
  6. Step 6: Final answer
    x = 2,886.74

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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.