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Finding the Fourth Proportional to 3,061.71, 4,590.89 and 1,417.35

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Solution

The fourth proportional to 3,061.71, 4,590.89 and 1,417.35 is: 2,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.71 : 4,590.89 = 1,417.35 : x
  2. Step 2: Convert to fraction form
    3,061.71/4,590.89 = 1,417.35/x
  3. Step 3: Cross multiply
    3,061.71x = 4,590.89 × 1,417.35
  4. Step 4: Simplify right side
    3,061.71x = 6,506,890.85
  5. Step 5: Solve for x
    x = 6,506,890.85/3,061.71
  6. Step 6: Final answer
    x = 2,125.25

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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.