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Finding the Fourth Proportional to 2,923.14, 4,384.74 and 975.34

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Solution

The fourth proportional to 2,923.14, 4,384.74 and 975.34 is: 1,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.14 : 4,384.74 = 975.34 : x
  2. Step 2: Convert to fraction form
    2,923.14/4,384.74 = 975.34/x
  3. Step 3: Cross multiply
    2,923.14x = 4,384.74 × 975.34
  4. Step 4: Simplify right side
    2,923.14x = 4,276,612.31
  5. Step 5: Solve for x
    x = 4,276,612.31/2,923.14
  6. Step 6: Final answer
    x = 1,463.02

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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.