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Finding the Fourth Proportional to 1,416.37, 2,123.40 and 1,069.01

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Solution

The fourth proportional to 1,416.37, 2,123.40 and 1,069.01 is: 1,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.37 : 2,123.40 = 1,069.01 : x
  2. Step 2: Convert to fraction form
    1,416.37/2,123.40 = 1,069.01/x
  3. Step 3: Cross multiply
    1,416.37x = 2,123.40 × 1,069.01
  4. Step 4: Simplify right side
    1,416.37x = 2,269,935.83
  5. Step 5: Solve for x
    x = 2,269,935.83/1,416.37
  6. Step 6: Final answer
    x = 1,602.64

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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.