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Finding the Fourth Proportional to 1,374.16, 1,894.44 and 1,095.34

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Solution

The fourth proportional to 1,374.16, 1,894.44 and 1,095.34 is: 1,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.16 : 1,894.44 = 1,095.34 : x
  2. Step 2: Convert to fraction form
    1,374.16/1,894.44 = 1,095.34/x
  3. Step 3: Cross multiply
    1,374.16x = 1,894.44 × 1,095.34
  4. Step 4: Simplify right side
    1,374.16x = 2,075,055.91
  5. Step 5: Solve for x
    x = 2,075,055.91/1,374.16
  6. Step 6: Final answer
    x = 1,510.05

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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.