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Finding the Fourth Proportional to 1,437.42, 2,158.86 and 893.40

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Solution

The fourth proportional to 1,437.42, 2,158.86 and 893.40 is: 1,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.42 : 2,158.86 = 893.40 : x
  2. Step 2: Convert to fraction form
    1,437.42/2,158.86 = 893.40/x
  3. Step 3: Cross multiply
    1,437.42x = 2,158.86 × 893.40
  4. Step 4: Simplify right side
    1,437.42x = 1,928,721.06
  5. Step 5: Solve for x
    x = 1,928,721.06/1,437.42
  6. Step 6: Final answer
    x = 1,341.80

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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.