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Finding the Fourth Proportional to 2,123.30, 3,184.57 and 953.35

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Solution

The fourth proportional to 2,123.30, 3,184.57 and 953.35 is: 1,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.30 : 3,184.57 = 953.35 : x
  2. Step 2: Convert to fraction form
    2,123.30/3,184.57 = 953.35/x
  3. Step 3: Cross multiply
    2,123.30x = 3,184.57 × 953.35
  4. Step 4: Simplify right side
    2,123.30x = 3,036,009.81
  5. Step 5: Solve for x
    x = 3,036,009.81/2,123.30
  6. Step 6: Final answer
    x = 1,429.85

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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.