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Finding the Fourth Proportional to 2,865.76, 4,295.90 and 916.63

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Solution

The fourth proportional to 2,865.76, 4,295.90 and 916.63 is: 1,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.76 : 4,295.90 = 916.63 : x
  2. Step 2: Convert to fraction form
    2,865.76/4,295.90 = 916.63/x
  3. Step 3: Cross multiply
    2,865.76x = 4,295.90 × 916.63
  4. Step 4: Simplify right side
    2,865.76x = 3,937,742.37
  5. Step 5: Solve for x
    x = 3,937,742.37/2,865.76
  6. Step 6: Final answer
    x = 1,374.07

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1.5x scale

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.