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Finding the Fourth Proportional to 1,810.45, 2,495.69 and 1,416.79

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Solution

The fourth proportional to 1,810.45, 2,495.69 and 1,416.79 is: 1,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.45 : 2,495.69 = 1,416.79 : x
  2. Step 2: Convert to fraction form
    1,810.45/2,495.69 = 1,416.79/x
  3. Step 3: Cross multiply
    1,810.45x = 2,495.69 × 1,416.79
  4. Step 4: Simplify right side
    1,810.45x = 3,535,868.64
  5. Step 5: Solve for x
    x = 3,535,868.64/1,810.45
  6. Step 6: Final answer
    x = 1,953.03

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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.