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Finding the Fourth Proportional to 2,286.63, 3,153.74 and 1,502.01

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Solution

The fourth proportional to 2,286.63, 3,153.74 and 1,502.01 is: 2,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.63 : 3,153.74 = 1,502.01 : x
  2. Step 2: Convert to fraction form
    2,286.63/3,153.74 = 1,502.01/x
  3. Step 3: Cross multiply
    2,286.63x = 3,153.74 × 1,502.01
  4. Step 4: Simplify right side
    2,286.63x = 4,736,941.51
  5. Step 5: Solve for x
    x = 4,736,941.51/2,286.63
  6. Step 6: Final answer
    x = 2,071.58

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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.