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Finding the Fourth Proportional to 1,656.63, 2,479.86 and 1,038.18

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Solution

The fourth proportional to 1,656.63, 2,479.86 and 1,038.18 is: 1,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.63 : 2,479.86 = 1,038.18 : x
  2. Step 2: Convert to fraction form
    1,656.63/2,479.86 = 1,038.18/x
  3. Step 3: Cross multiply
    1,656.63x = 2,479.86 × 1,038.18
  4. Step 4: Simplify right side
    1,656.63x = 2,574,541.05
  5. Step 5: Solve for x
    x = 2,574,541.05/1,656.63
  6. Step 6: Final answer
    x = 1,554.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.