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Finding the Fourth Proportional to 1,703.84, 2,543.56 and 1,590.40

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Solution

The fourth proportional to 1,703.84, 2,543.56 and 1,590.40 is: 2,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.84 : 2,543.56 = 1,590.40 : x
  2. Step 2: Convert to fraction form
    1,703.84/2,543.56 = 1,590.40/x
  3. Step 3: Cross multiply
    1,703.84x = 2,543.56 × 1,590.40
  4. Step 4: Simplify right side
    1,703.84x = 4,045,277.82
  5. Step 5: Solve for x
    x = 4,045,277.82/1,703.84
  6. Step 6: Final answer
    x = 2,374.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.