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Finding the Fourth Proportional to 1,730.84, 2,597.16 and 1,038.90

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Solution

The fourth proportional to 1,730.84, 2,597.16 and 1,038.90 is: 1,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.84 : 2,597.16 = 1,038.90 : x
  2. Step 2: Convert to fraction form
    1,730.84/2,597.16 = 1,038.90/x
  3. Step 3: Cross multiply
    1,730.84x = 2,597.16 × 1,038.90
  4. Step 4: Simplify right side
    1,730.84x = 2,698,189.52
  5. Step 5: Solve for x
    x = 2,698,189.52/1,730.84
  6. Step 6: Final answer
    x = 1,558.89

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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.