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Finding the Fourth Proportional to 2,373.70, 3,276.58 and 1,429.53

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Solution

The fourth proportional to 2,373.70, 3,276.58 and 1,429.53 is: 1,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.70 : 3,276.58 = 1,429.53 : x
  2. Step 2: Convert to fraction form
    2,373.70/3,276.58 = 1,429.53/x
  3. Step 3: Cross multiply
    2,373.70x = 3,276.58 × 1,429.53
  4. Step 4: Simplify right side
    2,373.70x = 4,683,965.83
  5. Step 5: Solve for x
    x = 4,683,965.83/2,373.70
  6. Step 6: Final answer
    x = 1,973.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.