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Finding the Fourth Proportional to 1,594.16, 2,394.12 and 1,526.12

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Solution

The fourth proportional to 1,594.16, 2,394.12 and 1,526.12 is: 2,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.16 : 2,394.12 = 1,526.12 : x
  2. Step 2: Convert to fraction form
    1,594.16/2,394.12 = 1,526.12/x
  3. Step 3: Cross multiply
    1,594.16x = 2,394.12 × 1,526.12
  4. Step 4: Simplify right side
    1,594.16x = 3,653,714.41
  5. Step 5: Solve for x
    x = 3,653,714.41/1,594.16
  6. Step 6: Final answer
    x = 2,291.94

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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.