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Finding the Fourth Proportional to 1,705.80, 2,357.04 and 1,556.40

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Solution

The fourth proportional to 1,705.80, 2,357.04 and 1,556.40 is: 2,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.80 : 2,357.04 = 1,556.40 : x
  2. Step 2: Convert to fraction form
    1,705.80/2,357.04 = 1,556.40/x
  3. Step 3: Cross multiply
    1,705.80x = 2,357.04 × 1,556.40
  4. Step 4: Simplify right side
    1,705.80x = 3,668,497.06
  5. Step 5: Solve for x
    x = 3,668,497.06/1,705.80
  6. Step 6: Final answer
    x = 2,150.60

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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.