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Finding the Fourth Proportional to 1,713.15, 2,364.17 and 1,005.02

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Solution

The fourth proportional to 1,713.15, 2,364.17 and 1,005.02 is: 1,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.15 : 2,364.17 = 1,005.02 : x
  2. Step 2: Convert to fraction form
    1,713.15/2,364.17 = 1,005.02/x
  3. Step 3: Cross multiply
    1,713.15x = 2,364.17 × 1,005.02
  4. Step 4: Simplify right side
    1,713.15x = 2,376,030.15
  5. Step 5: Solve for x
    x = 2,376,030.15/1,713.15
  6. Step 6: Final answer
    x = 1,386.94

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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.