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Finding the Fourth Proportional to 1,595.30, 2,391.59 and 902.30

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Solution

The fourth proportional to 1,595.30, 2,391.59 and 902.30 is: 1,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.30 : 2,391.59 = 902.30 : x
  2. Step 2: Convert to fraction form
    1,595.30/2,391.59 = 902.30/x
  3. Step 3: Cross multiply
    1,595.30x = 2,391.59 × 902.30
  4. Step 4: Simplify right side
    1,595.30x = 2,157,915.19
  5. Step 5: Solve for x
    x = 2,157,915.19/1,595.30
  6. Step 6: Final answer
    x = 1,352.67

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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.