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Finding the Fourth Proportional to 1,534.05, 2,303.80 and 1,256.93

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Solution

The fourth proportional to 1,534.05, 2,303.80 and 1,256.93 is: 1,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.05 : 2,303.80 = 1,256.93 : x
  2. Step 2: Convert to fraction form
    1,534.05/2,303.80 = 1,256.93/x
  3. Step 3: Cross multiply
    1,534.05x = 2,303.80 × 1,256.93
  4. Step 4: Simplify right side
    1,534.05x = 2,895,709.31
  5. Step 5: Solve for x
    x = 2,895,709.31/1,534.05
  6. Step 6: Final answer
    x = 1,887.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.