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Finding the Fourth Proportional to 2,152.35, 2,969.19 and 1,405.67

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Solution

The fourth proportional to 2,152.35, 2,969.19 and 1,405.67 is: 1,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.35 : 2,969.19 = 1,405.67 : x
  2. Step 2: Convert to fraction form
    2,152.35/2,969.19 = 1,405.67/x
  3. Step 3: Cross multiply
    2,152.35x = 2,969.19 × 1,405.67
  4. Step 4: Simplify right side
    2,152.35x = 4,173,686.46
  5. Step 5: Solve for x
    x = 4,173,686.46/2,152.35
  6. Step 6: Final answer
    x = 1,939.13

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