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Finding the Fourth Proportional to 1,417.15, 1,955.36 and 857.51

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Solution

The fourth proportional to 1,417.15, 1,955.36 and 857.51 is: 1,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.15 : 1,955.36 = 857.51 : x
  2. Step 2: Convert to fraction form
    1,417.15/1,955.36 = 857.51/x
  3. Step 3: Cross multiply
    1,417.15x = 1,955.36 × 857.51
  4. Step 4: Simplify right side
    1,417.15x = 1,676,730.98
  5. Step 5: Solve for x
    x = 1,676,730.98/1,417.15
  6. Step 6: Final answer
    x = 1,183.18

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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.