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Finding the Fourth Proportional to 3,064.32, 4,595.16 and 983.63

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Solution

The fourth proportional to 3,064.32, 4,595.16 and 983.63 is: 1,475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.32 : 4,595.16 = 983.63 : x
  2. Step 2: Convert to fraction form
    3,064.32/4,595.16 = 983.63/x
  3. Step 3: Cross multiply
    3,064.32x = 4,595.16 × 983.63
  4. Step 4: Simplify right side
    3,064.32x = 4,519,937.23
  5. Step 5: Solve for x
    x = 4,519,937.23/3,064.32
  6. Step 6: Final answer
    x = 1,475.02

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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.