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Finding the Fourth Proportional to 3,065.65, 4,595.70 and 1,117.40

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Solution

The fourth proportional to 3,065.65, 4,595.70 and 1,117.40 is: 1,675.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.65 : 4,595.70 = 1,117.40 : x
  2. Step 2: Convert to fraction form
    3,065.65/4,595.70 = 1,117.40/x
  3. Step 3: Cross multiply
    3,065.65x = 4,595.70 × 1,117.40
  4. Step 4: Simplify right side
    3,065.65x = 5,135,235.18
  5. Step 5: Solve for x
    x = 5,135,235.18/3,065.65
  6. Step 6: Final answer
    x = 1,675.09

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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.