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Finding the Fourth Proportional to 1,895.64, 2,616.09 and 1,056.40

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Solution

The fourth proportional to 1,895.64, 2,616.09 and 1,056.40 is: 1,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.64 : 2,616.09 = 1,056.40 : x
  2. Step 2: Convert to fraction form
    1,895.64/2,616.09 = 1,056.40/x
  3. Step 3: Cross multiply
    1,895.64x = 2,616.09 × 1,056.40
  4. Step 4: Simplify right side
    1,895.64x = 2,763,637.48
  5. Step 5: Solve for x
    x = 2,763,637.48/1,895.64
  6. Step 6: Final answer
    x = 1,457.89

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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.