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Finding the Fourth Proportional to 2,985.06, 4,478.13 and 1,037.01

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Solution

The fourth proportional to 2,985.06, 4,478.13 and 1,037.01 is: 1,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.06 : 4,478.13 = 1,037.01 : x
  2. Step 2: Convert to fraction form
    2,985.06/4,478.13 = 1,037.01/x
  3. Step 3: Cross multiply
    2,985.06x = 4,478.13 × 1,037.01
  4. Step 4: Simplify right side
    2,985.06x = 4,643,865.59
  5. Step 5: Solve for x
    x = 4,643,865.59/2,985.06
  6. Step 6: Final answer
    x = 1,555.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.