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Finding the Fourth Proportional to 1,708.77, 2,358.12 and 1,010.14

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Solution

The fourth proportional to 1,708.77, 2,358.12 and 1,010.14 is: 1,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.77 : 2,358.12 = 1,010.14 : x
  2. Step 2: Convert to fraction form
    1,708.77/2,358.12 = 1,010.14/x
  3. Step 3: Cross multiply
    1,708.77x = 2,358.12 × 1,010.14
  4. Step 4: Simplify right side
    1,708.77x = 2,382,031.34
  5. Step 5: Solve for x
    x = 2,382,031.34/1,708.77
  6. Step 6: Final answer
    x = 1,394.00

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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.