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Finding the Fourth Proportional to 1,416.35, 2,124.83 and 594.15

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Solution

The fourth proportional to 1,416.35, 2,124.83 and 594.15 is: 891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.35 : 2,124.83 = 594.15 : x
  2. Step 2: Convert to fraction form
    1,416.35/2,124.83 = 594.15/x
  3. Step 3: Cross multiply
    1,416.35x = 2,124.83 × 594.15
  4. Step 4: Simplify right side
    1,416.35x = 1,262,467.74
  5. Step 5: Solve for x
    x = 1,262,467.74/1,416.35
  6. Step 6: Final answer
    x = 891.35

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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.