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Finding the Fourth Proportional to 2,153.42, 2,973.13 and 1,357.94

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Solution

The fourth proportional to 2,153.42, 2,973.13 and 1,357.94 is: 1,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.42 : 2,973.13 = 1,357.94 : x
  2. Step 2: Convert to fraction form
    2,153.42/2,973.13 = 1,357.94/x
  3. Step 3: Cross multiply
    2,153.42x = 2,973.13 × 1,357.94
  4. Step 4: Simplify right side
    2,153.42x = 4,037,313.89
  5. Step 5: Solve for x
    x = 4,037,313.89/2,153.42
  6. Step 6: Final answer
    x = 1,874.84

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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.