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Finding the Fourth Proportional to 2,148, 3,219.93 and 1,037.16

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Solution

The fourth proportional to 2,148, 3,219.93 and 1,037.16 is: 1,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148 : 3,219.93 = 1,037.16 : x
  2. Step 2: Convert to fraction form
    2,148/3,219.93 = 1,037.16/x
  3. Step 3: Cross multiply
    2,148x = 3,219.93 × 1,037.16
  4. Step 4: Simplify right side
    2,148x = 3,339,582.60
  5. Step 5: Solve for x
    x = 3,339,582.60/2,148
  6. Step 6: Final answer
    x = 1,554.74

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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.