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Finding the Fourth Proportional to 1,733.59, 2,600.35 and 579.34

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Solution

The fourth proportional to 1,733.59, 2,600.35 and 579.34 is: 869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.59 : 2,600.35 = 579.34 : x
  2. Step 2: Convert to fraction form
    1,733.59/2,600.35 = 579.34/x
  3. Step 3: Cross multiply
    1,733.59x = 2,600.35 × 579.34
  4. Step 4: Simplify right side
    1,733.59x = 1,506,486.77
  5. Step 5: Solve for x
    x = 1,506,486.77/1,733.59
  6. Step 6: Final answer
    x = 869.00

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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.