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Finding the Fourth Proportional to 1,563.60, 2,158.26 and 934.59

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Solution

The fourth proportional to 1,563.60, 2,158.26 and 934.59 is: 1,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.60 : 2,158.26 = 934.59 : x
  2. Step 2: Convert to fraction form
    1,563.60/2,158.26 = 934.59/x
  3. Step 3: Cross multiply
    1,563.60x = 2,158.26 × 934.59
  4. Step 4: Simplify right side
    1,563.60x = 2,017,088.21
  5. Step 5: Solve for x
    x = 2,017,088.21/1,563.60
  6. Step 6: Final answer
    x = 1,290.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.