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Finding the Fourth Proportional to 2,886.63, 4,328.49 and 1,037.46

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Solution

The fourth proportional to 2,886.63, 4,328.49 and 1,037.46 is: 1,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.63 : 4,328.49 = 1,037.46 : x
  2. Step 2: Convert to fraction form
    2,886.63/4,328.49 = 1,037.46/x
  3. Step 3: Cross multiply
    2,886.63x = 4,328.49 × 1,037.46
  4. Step 4: Simplify right side
    2,886.63x = 4,490,635.24
  5. Step 5: Solve for x
    x = 4,490,635.24/2,886.63
  6. Step 6: Final answer
    x = 1,555.67

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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.