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Finding the Fourth Proportional to 1,813.63, 2,502.80 and 985.63

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Solution

The fourth proportional to 1,813.63, 2,502.80 and 985.63 is: 1,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.63 : 2,502.80 = 985.63 : x
  2. Step 2: Convert to fraction form
    1,813.63/2,502.80 = 985.63/x
  3. Step 3: Cross multiply
    1,813.63x = 2,502.80 × 985.63
  4. Step 4: Simplify right side
    1,813.63x = 2,466,834.76
  5. Step 5: Solve for x
    x = 2,466,834.76/1,813.63
  6. Step 6: Final answer
    x = 1,360.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.