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Finding the Fourth Proportional to 1,730.03, 2,595.06 and 431.46

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Solution

The fourth proportional to 1,730.03, 2,595.06 and 431.46 is: 647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.03 : 2,595.06 = 431.46 : x
  2. Step 2: Convert to fraction form
    1,730.03/2,595.06 = 431.46/x
  3. Step 3: Cross multiply
    1,730.03x = 2,595.06 × 431.46
  4. Step 4: Simplify right side
    1,730.03x = 1,119,664.59
  5. Step 5: Solve for x
    x = 1,119,664.59/1,730.03
  6. Step 6: Final answer
    x = 647.20

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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.