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Finding the Fourth Proportional to 1,619.30, 2,429.18 and 631.93

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Solution

The fourth proportional to 1,619.30, 2,429.18 and 631.93 is: 947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.30 : 2,429.18 = 631.93 : x
  2. Step 2: Convert to fraction form
    1,619.30/2,429.18 = 631.93/x
  3. Step 3: Cross multiply
    1,619.30x = 2,429.18 × 631.93
  4. Step 4: Simplify right side
    1,619.30x = 1,535,056.41
  5. Step 5: Solve for x
    x = 1,535,056.41/1,619.30
  6. Step 6: Final answer
    x = 947.98

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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.