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Finding the Fourth Proportional to 1,477.37, 2,038.97 and 887.87

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Solution

The fourth proportional to 1,477.37, 2,038.97 and 887.87 is: 1,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.37 : 2,038.97 = 887.87 : x
  2. Step 2: Convert to fraction form
    1,477.37/2,038.97 = 887.87/x
  3. Step 3: Cross multiply
    1,477.37x = 2,038.97 × 887.87
  4. Step 4: Simplify right side
    1,477.37x = 1,810,347.61
  5. Step 5: Solve for x
    x = 1,810,347.61/1,477.37
  6. Step 6: Final answer
    x = 1,225.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.