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Finding the Fourth Proportional to 2,281.16, 3,421.74 and 637.72

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Solution

The fourth proportional to 2,281.16, 3,421.74 and 637.72 is: 956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.16 : 3,421.74 = 637.72 : x
  2. Step 2: Convert to fraction form
    2,281.16/3,421.74 = 637.72/x
  3. Step 3: Cross multiply
    2,281.16x = 3,421.74 × 637.72
  4. Step 4: Simplify right side
    2,281.16x = 2,182,125.12
  5. Step 5: Solve for x
    x = 2,182,125.12/2,281.16
  6. Step 6: Final answer
    x = 956.58

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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.