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Finding the Fourth Proportional to 1,668.42, 2,484.98 and 1,580.59

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Solution

The fourth proportional to 1,668.42, 2,484.98 and 1,580.59 is: 2,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.42 : 2,484.98 = 1,580.59 : x
  2. Step 2: Convert to fraction form
    1,668.42/2,484.98 = 1,580.59/x
  3. Step 3: Cross multiply
    1,668.42x = 2,484.98 × 1,580.59
  4. Step 4: Simplify right side
    1,668.42x = 3,927,728.68
  5. Step 5: Solve for x
    x = 3,927,728.68/1,668.42
  6. Step 6: Final answer
    x = 2,354.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.