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Finding the Fourth Proportional to 1,417.45, 1,955.50 and 1,023.61

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Solution

The fourth proportional to 1,417.45, 1,955.50 and 1,023.61 is: 1,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.45 : 1,955.50 = 1,023.61 : x
  2. Step 2: Convert to fraction form
    1,417.45/1,955.50 = 1,023.61/x
  3. Step 3: Cross multiply
    1,417.45x = 1,955.50 × 1,023.61
  4. Step 4: Simplify right side
    1,417.45x = 2,001,669.36
  5. Step 5: Solve for x
    x = 2,001,669.36/1,417.45
  6. Step 6: Final answer
    x = 1,412.16

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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.