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Finding the Fourth Proportional to 1,477.06, 2,038.29 and 953.62

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Solution

The fourth proportional to 1,477.06, 2,038.29 and 953.62 is: 1,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.06 : 2,038.29 = 953.62 : x
  2. Step 2: Convert to fraction form
    1,477.06/2,038.29 = 953.62/x
  3. Step 3: Cross multiply
    1,477.06x = 2,038.29 × 953.62
  4. Step 4: Simplify right side
    1,477.06x = 1,943,754.11
  5. Step 5: Solve for x
    x = 1,943,754.11/1,477.06
  6. Step 6: Final answer
    x = 1,315.96

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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.