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Finding the Fourth Proportional to 1,185.02, 1,638.86 and 1,037.40

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Solution

The fourth proportional to 1,185.02, 1,638.86 and 1,037.40 is: 1,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.02 : 1,638.86 = 1,037.40 : x
  2. Step 2: Convert to fraction form
    1,185.02/1,638.86 = 1,037.40/x
  3. Step 3: Cross multiply
    1,185.02x = 1,638.86 × 1,037.40
  4. Step 4: Simplify right side
    1,185.02x = 1,700,153.36
  5. Step 5: Solve for x
    x = 1,700,153.36/1,185.02
  6. Step 6: Final answer
    x = 1,434.70

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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.