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Finding the Fourth Proportional to 1,341.63, 2,011.70 and 416.93

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Solution

The fourth proportional to 1,341.63, 2,011.70 and 416.93 is: 625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.63 : 2,011.70 = 416.93 : x
  2. Step 2: Convert to fraction form
    1,341.63/2,011.70 = 416.93/x
  3. Step 3: Cross multiply
    1,341.63x = 2,011.70 × 416.93
  4. Step 4: Simplify right side
    1,341.63x = 838,738.08
  5. Step 5: Solve for x
    x = 838,738.08/1,341.63
  6. Step 6: Final answer
    x = 625.16

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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.