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Finding the Fourth Proportional to 1,730.49, 2,594.35 and 999.24

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Solution

The fourth proportional to 1,730.49, 2,594.35 and 999.24 is: 1,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.49 : 2,594.35 = 999.24 : x
  2. Step 2: Convert to fraction form
    1,730.49/2,594.35 = 999.24/x
  3. Step 3: Cross multiply
    1,730.49x = 2,594.35 × 999.24
  4. Step 4: Simplify right side
    1,730.49x = 2,592,378.29
  5. Step 5: Solve for x
    x = 2,592,378.29/1,730.49
  6. Step 6: Final answer
    x = 1,498.06

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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.