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Finding the Fourth Proportional to 1,538.94, 2,123.70 and 840.30

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Solution

The fourth proportional to 1,538.94, 2,123.70 and 840.30 is: 1,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.94 : 2,123.70 = 840.30 : x
  2. Step 2: Convert to fraction form
    1,538.94/2,123.70 = 840.30/x
  3. Step 3: Cross multiply
    1,538.94x = 2,123.70 × 840.30
  4. Step 4: Simplify right side
    1,538.94x = 1,784,545.11
  5. Step 5: Solve for x
    x = 1,784,545.11/1,538.94
  6. Step 6: Final answer
    x = 1,159.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.