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Finding the Fourth Proportional to 1,411.84, 2,117.76 and 589.60

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Solution

The fourth proportional to 1,411.84, 2,117.76 and 589.60 is: 884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.84 : 2,117.76 = 589.60 : x
  2. Step 2: Convert to fraction form
    1,411.84/2,117.76 = 589.60/x
  3. Step 3: Cross multiply
    1,411.84x = 2,117.76 × 589.60
  4. Step 4: Simplify right side
    1,411.84x = 1,248,631.30
  5. Step 5: Solve for x
    x = 1,248,631.30/1,411.84
  6. Step 6: Final answer
    x = 884.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.