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Finding the Fourth Proportional to 1,858.05, 2,565 and 1,484.64

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Solution

The fourth proportional to 1,858.05, 2,565 and 1,484.64 is: 2,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.05 : 2,565 = 1,484.64 : x
  2. Step 2: Convert to fraction form
    1,858.05/2,565 = 1,484.64/x
  3. Step 3: Cross multiply
    1,858.05x = 2,565 × 1,484.64
  4. Step 4: Simplify right side
    1,858.05x = 3,808,101.60
  5. Step 5: Solve for x
    x = 3,808,101.60/1,858.05
  6. Step 6: Final answer
    x = 2,049.52

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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.