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Finding the Fourth Proportional to 1,521.34, 2,281.62 and 425.64

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Solution

The fourth proportional to 1,521.34, 2,281.62 and 425.64 is: 638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.34 : 2,281.62 = 425.64 : x
  2. Step 2: Convert to fraction form
    1,521.34/2,281.62 = 425.64/x
  3. Step 3: Cross multiply
    1,521.34x = 2,281.62 × 425.64
  4. Step 4: Simplify right side
    1,521.34x = 971,148.74
  5. Step 5: Solve for x
    x = 971,148.74/1,521.34
  6. Step 6: Final answer
    x = 638.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.