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Finding the Fourth Proportional to 1,386.40, 1,913.46 and 1,054.30

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Solution

The fourth proportional to 1,386.40, 1,913.46 and 1,054.30 is: 1,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.40 : 1,913.46 = 1,054.30 : x
  2. Step 2: Convert to fraction form
    1,386.40/1,913.46 = 1,054.30/x
  3. Step 3: Cross multiply
    1,386.40x = 1,913.46 × 1,054.30
  4. Step 4: Simplify right side
    1,386.40x = 2,017,360.88
  5. Step 5: Solve for x
    x = 2,017,360.88/1,386.40
  6. Step 6: Final answer
    x = 1,455.11

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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.