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Finding the Fourth Proportional to 1,411.61, 2,117.15 and 589.66

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Solution

The fourth proportional to 1,411.61, 2,117.15 and 589.66 is: 884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.61 : 2,117.15 = 589.66 : x
  2. Step 2: Convert to fraction form
    1,411.61/2,117.15 = 589.66/x
  3. Step 3: Cross multiply
    1,411.61x = 2,117.15 × 589.66
  4. Step 4: Simplify right side
    1,411.61x = 1,248,407.86
  5. Step 5: Solve for x
    x = 1,248,407.86/1,411.61
  6. Step 6: Final answer
    x = 884.39

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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.