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Finding the Fourth Proportional to 1,477.48, 2,038.86 and 887.66

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Solution

The fourth proportional to 1,477.48, 2,038.86 and 887.66 is: 1,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.48 : 2,038.86 = 887.66 : x
  2. Step 2: Convert to fraction form
    1,477.48/2,038.86 = 887.66/x
  3. Step 3: Cross multiply
    1,477.48x = 2,038.86 × 887.66
  4. Step 4: Simplify right side
    1,477.48x = 1,809,814.47
  5. Step 5: Solve for x
    x = 1,809,814.47/1,477.48
  6. Step 6: Final answer
    x = 1,224.93

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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.