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Finding the Fourth Proportional to 1,421.65, 2,133.75 and 902.59

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Solution

The fourth proportional to 1,421.65, 2,133.75 and 902.59 is: 1,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.65 : 2,133.75 = 902.59 : x
  2. Step 2: Convert to fraction form
    1,421.65/2,133.75 = 902.59/x
  3. Step 3: Cross multiply
    1,421.65x = 2,133.75 × 902.59
  4. Step 4: Simplify right side
    1,421.65x = 1,925,890.74
  5. Step 5: Solve for x
    x = 1,925,890.74/1,421.65
  6. Step 6: Final answer
    x = 1,354.69

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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.