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Finding the Fourth Proportional to 2,594.54, 3,582.70 and 1,710.02

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Solution

The fourth proportional to 2,594.54, 3,582.70 and 1,710.02 is: 2,361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.54 : 3,582.70 = 1,710.02 : x
  2. Step 2: Convert to fraction form
    2,594.54/3,582.70 = 1,710.02/x
  3. Step 3: Cross multiply
    2,594.54x = 3,582.70 × 1,710.02
  4. Step 4: Simplify right side
    2,594.54x = 6,126,488.65
  5. Step 5: Solve for x
    x = 6,126,488.65/2,594.54
  6. Step 6: Final answer
    x = 2,361.30

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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.